Document:

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                                                                    Exhibit 10.4

                        REGISTRATION RIGHTS AGREEMENT

         THIS REGISTRATION RIGHTS AGREEMENT (this "Agreement") is made and
entered into as of August 5, 2003 by and among United States Lime & Minerals,
Inc., a Texas corporation (the "Company"), and each of those persons and
entities, severally and not jointly, whose names are set forth on the Schedule
of Investors attached hereto as Schedule A (which persons and entities are
hereinafter referred to as the "Investors," and each individually as an
"Investor").

                                  RECITALS:

         WHEREAS, the Company sold to the Investors on August 5, 2003 certain
Common Stock Purchase Warrants (collectively, the "Warrants") permitting the
Investors to purchase from the Company, at any time and from time to time during
the Warrant Exercise Term (as defined in the Warrants), in whole or in part, up
to an aggregate of 162,000 shares (the "Warrant Shares") of the Company's common
stock, par value $0.10 per share (the "Common Stock"), at a per share price
equal to $3.80 (subject to adjustment pursuant to the Warrants) (the "Exercise
Price"); and

         WHEREAS, neither the Warrants nor the Warrant Shares have been
registered under the Securities Act of 1933, as amended (the "Securities Act"),
or any state securities laws.

         NOW, THEREFORE, in consideration of the foregoing recitals and for
other good and valuable consideration, the receipt and sufficiency of which are
hereby acknowledged, the Company and each of the Investors hereby agree as
follows:

1.       Registration of the Warrant Shares; Compliance with the Securities Act.

         1.1      Registration Procedures.

                  (a)      Subject to the conditions of this Section 1:

                           (i)      at any time during the Warrant Exercise
Term, the Majority Investors (as defined below) shall have the right (the
"Demand Right"), exercisable by written notice to the Company signed by such
Majority Investors (the "Demand Registration Request"), to require that the
Company use its commercially reasonable efforts to prepare and file with the
Securities and Exchange Commission (the "SEC"), within 60 days after the
Company's receipt of the Demand Registration Request (or, if the sixtieth day
after the Company's receipt of the Demand Registration Request is not a business
day, then the first business day thereafter), a registration statement on Form
S-3 (the "Registration Statement") to enable the resale of the Warrant Shares
held by the Majority Investors, and any other Investor who joins in the Demand
Registration Request pursuant to Section 1.1(a)(iv), from time to time through
the automated quotation system of The Nasdaq National Market or in
privately-negotiated transactions; provided, however, that the Demand Right
shall be exercisable on one occasion only. The term

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"Majority Investors" means the holder or holders of not less than a majority of
the shares of Common Stock subject to the Warrants (whether or not such shares
of Common Stock have been issued upon exercise of the Warrants). From the date
hereof until the date on which the SEC declares the Registration Statement
effective, the Company shall use its commercially reasonable efforts to remain
eligible to register the Warrant Shares on Form S-3;

                           (ii)     upon receipt of the Demand Registration
Request, the Company shall use its commercially reasonable efforts to cause the
Registration Statement to become effective within 60 days after the Registration
Statement is filed by the Company with the SEC (or, if the sixtieth day is not a
business day, the first business day thereafter);

                           (iii)    during the Registration Period (as defined
below), the Company shall use its commercially reasonable efforts to keep the
Registration Statement current and effective so as to permit the resale of the
Warrant Shares included in the Registration Statement. The term "Registration
Period" means, with respect to any Warrant Shares, the date commencing on the
date on which the SEC declares the Registration Statement effective and ending
on the earliest of (a) the second anniversary of the effective date of the
Registration Statement, (b) the date on which such Warrant Shares may be sold
pursuant to Rule 144 under the Securities Act within the volume limitations of
Rule 144(e) under the Securities Act, (c) such time as such Warrant Shares have
been sold pursuant to the Registration Statement or otherwise, (d) the date on
which such Warrant Shares may be sold pursuant to Rule 144(k), and (e) the date
on which the Warrant Shares Put Right (as such term is defined in the Warrants)
may be exercised with respect to such Warrant Shares;

                           (iv)     the Company shall give written notice of any
Demand Registration Request to each Investor that is not a Majority Investor
(the "Company Notice") within 10 days from the date of the Company's receipt of
any such Demand Registration Request. Following receipt of the Company Notice,
each such Investor may join in the Demand Registration Request and require the
Company to include such Investor's Warrant Shares in the Registration Statement
to be filed pursuant to this Section 1.1 by notifying the Company within 10 days
following such Investor's receipt of the Company Notice of its decision to
include such Investor's Warrant Shares in the Registration Statement;

                           (v)      the Company shall furnish to each Investor
with respect to the Warrant Shares registered under the Registration Statement
such number of copies of the Registration Statement and prospectuses in
conformity with the requirements of the Securities Act and such other documents
as such Investor may reasonably request, in order to facilitate the public sale
or other disposition of all or any of such Investor's Warrant Shares included in
the Registration Statement;

                           (vi)     the Company shall file such documents
required of the Company for normal securities law clearance, if any, in states
specified in writing by the Investor and use its commercially reasonable efforts
to maintain such qualifications

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during the Registration Period; provided, however, that the Company shall not be
required to qualify to do business or consent to service of process in any
jurisdiction in which it is not now so qualified or has not so consented;

                           (vii)    the Company shall bear all expenses in
connection with the procedures in paragraphs (i) through (vi) of this Section
1.1(a) and the registration of the Warrant Shares pursuant to the Registration
Statement, except with respect to (a) any legal or accounting fees incurred by
any of the Investors in connection with the Registration Statement and any
amendments thereto, and (b) any underwriting fees and selling commissions
applicable to the sale of the Warrant Shares pursuant to the Registration
Statement; and

                           (viii)   the Company shall advise the Investors
promptly after the Company shall receive notice or obtain knowledge of the
issuance of any stop order by the SEC delaying or suspending the effectiveness
of the Registration Statement or of the initiation or threat of any proceeding
for that purpose, and it will promptly use its commercially reasonable efforts
to prevent the issuance of any stop order or to obtain the withdrawal of any
stop order as soon as practicable if such stop order should be issued.

                  (b)      Each Investor agrees, severally and not jointly, that
such Investor (i) will timely provide all such information and material and take
all such actions as may be reasonably requested by the Company in order to
enable the Company to comply with all applicable requirements of the SEC in
connection with the exercise of the Demand Right and the Registration Statement,
and (ii) will comply with the applicable provisions of the Securities Act and of
such other securities laws as may be applicable in connection with any use of
such prospectuses and resale of the Warrant Shares pursuant thereto.

         1.2      Limitation on Demand Right.

                  (a)      The Company shall not be required to file the
Registration Statement upon receipt of the Demand Registration Request pursuant
to Section 1.1 if the Company shall furnish to the Majority Holders a
certificate signed by the Chief Executive Officer of the Company stating that,
in the good faith judgment of the Company, it would be detrimental to the
Company for the Registration Statement to be effected at such time, in which
event the Company shall have the right to defer such filing for a period of not
more than 120 days following receipt of the Demand Registration Request.

                  (b)      Upon the expiration of the Registration Period with
respect to any Warrant Shares, the Company shall have no obligation to include
such Warrant Shares in the Registration Statement and, to the extent that any
such Warrant Shares have previously been included in the Registration Statement,
shall be entitled to deregister such Warrant Shares from the Registration
Statement.

         1.3      Transfer of Shares After Registration; Suspension; Black-Out.

                  (a)      Each Investor agrees that such Investor will not
effect any disposition of the Warrant Shares or of its right to purchase the
Warrant Shares that

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would constitute a sale of such Warrant Shares within the meaning of the
Securities Act except as contemplated in the Registration Statement referred to
in Section 1.1 and as described below or as otherwise permitted by law, and that
it will promptly notify the Company of any changes in the information set forth
in the Registration Statement regarding such Investor or its plan of
distribution.

                  (b)      The Company shall (i) if deemed necessary by the
Company, prepare and file from time to time with the SEC a post-effective
amendment to the Registration Statement or a supplement to the related
prospectus or a supplement or amendment to any document incorporated therein by
reference or file any other required document so that such Registration
Statement will not contain an untrue statement of a material fact or omit to
state a material fact required to be stated therein or necessary to make the
statements therein not misleading, and so that such prospectus will not contain
an untrue statement of a material fact or omit to state a material fact required
to be stated therein or necessary to make the statements therein, in light of
the circumstances under which they were made, not misleading; and (ii) provide
each Investor whose Warrant Shares are included in the Registration Statement
copies of any documents filed pursuant to Section 1.3(b)(i).

                  (c)      Subject to paragraph (e) below, in the event of (i)
any request by the SEC or any other federal or state governmental authority
during the period of effectiveness of the Registration Statement for amendments
or supplements to the Registration Statement or related prospectus or for
additional information, (ii) the issuance by the SEC or any other federal or
state governmental authority of any stop order suspending the effectiveness of
the Registration Statement or the initiation of any proceedings for that
purpose, (iii) the receipt by the Company of any notification with respect to
the suspension of the qualification or exemption from qualification of any of
the Warrant Shares for sale in any jurisdiction or the initiation or threatening
of any proceeding for such purpose, or (iv) any event or circumstance which,
upon the advice of the Company's counsel, necessitates the making of any changes
in the Registration Statement or prospectus, or any document incorporated or
deemed to be incorporated therein by reference, so that, in the case of the
Registration Statement, it will not contain any untrue statement of a material
fact or any omission to state a material fact required to be stated therein or
necessary to make the statements therein not misleading, and that in the case of
the prospectus, it will not contain any untrue statement of a material fact or
any omission to state a material fact required to be stated therein or necessary
to make the statements therein, in light of the circumstances under which they
were made, not misleading, then the Company shall deliver a certificate in
writing to each Investor whose Warrant Shares are included in the Registration
Statement (the "Suspension Notice") to the effect of the foregoing and, upon
receipt of such Suspension Notice, each such Investor will refrain from selling
any Warrant Shares pursuant to the Registration Statement (a "Suspension") until
such Investor's receipt of copies of a supplemented or amended prospectus
prepared and filed by the Company, or until it is advised in writing by the
Company that the current prospectus may be used, and has received copies of any
additional or supplemental filings that are incorporated or deemed to be
incorporated by reference in any such prospectus. In the event of any
Suspension, the Company will use its commercially reasonable efforts to cause
the use of the prospectus so suspended to be

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resumed as soon as reasonably practicable after the delivery of a Suspension
Notice pursuant to this Section 1.3(c).

                  (d)      Subject to paragraph (e) below, the Company shall
have the right, upon giving written notice to any Investor whose Warrant Shares
are included in the Registration Statement of the exercise of such right, to
require each such Investor not to sell any Warrant Shares pursuant to the
Registration Statement for a reasonable period (as determined in good faith by
the Company) from the date on which such notice is given (a "Black-Out Period"),
if (i) the Company is engaged in or proposes to engage in discussions or
negotiations with respect to, or has proposed or taken a substantial step to
commence, or there otherwise is pending, any merger, acquisition, other form of
business combination, divestiture, tender offer, financing or other transaction,
or there is an event or state of facts relating to the Company, in each case
which is material to the Company (any such negotiation, step, event or state of
facts being herein called a "Material Activity"), (ii) in the good faith
judgment of the Company, disclosure of such Material Activity would be necessary
under applicable securities laws if resale pursuant to the Registration
Statement were to continue, and (iii) such disclosure would, in the good faith
judgment of the Company, be adverse to the interests of the Company
("Black-Out"). During any such Black-Out Period, each Investor agrees not to
sell any Warrant Shares under the Registration Statement for such period of time
as the Company may in good faith deem advisable.

                  (e)      Notwithstanding the foregoing paragraphs (c) and (d)
of this Section 1.3, the Investors shall not be prohibited from selling Warrant
Shares under the Registration Statement as a result of Suspensions or Black-Outs
on more than two occasions of not more than 60 days each in any twelve-month
period, unless, in the good faith judgment of the Company's Board of Directors,
the sale of Warrant Shares under the Registration Statement in reliance on this
Section 1.3(e) would be reasonably likely to cause a violation of the Securities
Act or the Securities Exchange Act of 1934, as amended, and result in liability
to the Company.

                  (f)      Provided that a Suspension or Black-Out is not then
in effect, each Investor whose Warrant Shares are included in the Registration
Statement may sell Warrant Shares under the Registration Statement, provided,
however, that such Investor arranges for delivery of a current prospectus to the
transferee of such Warrant Shares and otherwise complies with all Federal and
state securities laws.

                  (g)      In the event of a sale of Warrant Shares by an
Investor pursuant to the Registration Statement, such Investor must deliver, or
cause to be delivered, to the Company's transfer agent, with a copy to the
Company, a Certificate of Subsequent Sale substantially in the form attached
hereto as Exhibit A.

         1.4      Other Shareholders and Registrations. Each Investor
acknowledges that the Company may include on the Registration Statement shares
of Common Stock for resale by certain other shareholders of the Company, and
that the Company may file other registration statements ("Other Registration
Statements") for the sale of shares of Common Stock by the Company or the resale
of shares of Common Stock by other

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shareholders of the Company at any time. Each Investor acknowledges and agrees
that the Company shall have no obligation to include any Warrant Shares or any
other shares of capital stock of the Company owned by such Investor in any Other
Registration Statements.

2.       Indemnification.

         2.1      Indemnification of the Investors. The Company agrees to
indemnify and hold harmless each Investor (and each person, if any, who controls
each Investor within the meaning of Section 15 of the Securities Act) from and
against any losses, claims, damages or liabilities to which such Investor may
become subject (under the Securities Act or otherwise) insofar as such losses,
claims, damages or liabilities (or actions or proceedings in respect thereof)
arise out of, or are based upon, (i) any untrue statement of a material fact
contained in the Registration Statement, as it may have been amended, at the
time of effectiveness or any omission of a material fact required to be stated
therein or necessary to make the statements therein in light of the
circumstances under which they were made not misleading, or (ii) any failure by
the Company to fulfill any undertaking included in the Registration Statement at
the time of effectiveness. The Company will reimburse such Investor for any
reasonable and documented legal expenses and any other actual, out-of-pocket
expenses reasonably incurred in investigating, defending or preparing to defend
any such action, proceeding or claim; provided, however, that the Company shall
not be liable in any such case to the extent that such loss, claim, damage or
liability arises out of, or is based upon, an untrue statement made in such
Registration Statement or any omission of a material fact required to be stated
therein or necessary to make the statements therein not misleading in reliance
upon and in conformity with written information furnished to the Company by or
on behalf of any Investor or any of its affiliates or representatives
specifically for use in preparation of the Registration Statement or the failure
of any Investor to comply with its covenants and agreements contained in Section
1.3 hereof respecting the sale of the Warrant Shares or any statement or
omission in any prospectus that is corrected in any subsequent prospectus that
was delivered to an Investor prior to the pertinent sale or sales by such
Investor. The Company shall reimburse each Investor for the amounts provided for
herein within a reasonable period of time after demand therefor.

         2.2      Indemnification of the Company. Each Investor, severally and
not jointly, agrees to indemnify and hold harmless the Company (and each person,
if any, who controls the Company within the meaning of Section 15 of the
Securities Act, each officer of the Company who signs the Registration Statement
and each director of the Company) from and against any losses, claims, damages
or liabilities to which the Company (or any such controlling person, officer or
director) may become subject (under the Securities Act or otherwise), insofar as
such losses, claims, damages or liabilities (or actions or proceedings in
respect thereof) arise out of, or are based upon, (i) any failure by such
Investor to comply with the covenants and agreements of such Investor contained
in Section 1.3 hereof respecting any sale of the Warrant Shares, or (ii) any
untrue statement of a material fact contained in the Registration Statement, as
it may have been amended, at the time of effectiveness or any omission of a
material fact required to be stated therein or necessary to make the statements
therein in light of the circumstances

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under which they were made not misleading, if only to the extent such untrue
statement or omission was made in reliance upon and in conformity with written
information furnished by or on behalf of such Investor specifically for use in
preparation of the Registration Statement as set forth in an instrument
expressly permitting its use in the Registration Statement, and such Investor
will reimburse the Company (or such controlling person, officer or director), as
the case may be, for any legal or other expenses reasonably incurred in
investigating, defending or preparing to defend any such action, proceeding or
claim. Each Investor shall reimburse the Company for the amounts provided for
herein within a reasonable time after demand therefor.

         2.3      Indemnification Procedure. Promptly after receipt by any
indemnified person of a notice of a claim or the beginning of any action in
respect of which indemnity is to be sought against an indemnifying person
pursuant to this Section 2, such indemnified person shall notify the
indemnifying person in writing of such claim or of the commencement of such
action, but the omission to so notify the indemnifying person will not relieve
it from any liability which it may have to any indemnified person under this
Section 2 (except to the extent that such omission materially and adversely
affects the indemnifying person's ability to defend such action) or from any
liability otherwise than under this Section 2. Subject to the provisions
hereinafter stated, in case any such action shall be brought against an
indemnified person, the indemnifying person shall be entitled to participate
therein, and, to the extent that it shall elect by written notice delivered to
the indemnified person promptly after receiving the aforesaid notice from such
indemnified person, shall be entitled to assume the defense thereof, with
counsel reasonably satisfactory to such indemnified person. After notice from
the indemnifying person to such indemnified person of its election to assume the
defense thereof, such indemnifying person shall not be liable to such
indemnified person for any legal expenses subsequently incurred by such
indemnified person in connection with the defense thereof; provided, however,
that, if there exists or shall exist a conflict of interest that would make it
inappropriate, in the opinion of counsel to the indemnified person, for the same
counsel to represent both the indemnified person and such indemnifying person or
any affiliate thereof, the indemnified person shall be entitled to retain its
own counsel at the expense of such indemnifying person; provided further,
however, that no indemnifying person shall be responsible for the fees and
expenses of more than one separate counsel (together with appropriate local
counsel) for all indemnified persons.

         2.4      Settlement. In no event shall any indemnifying person be
liable in respect of any amounts paid in settlement of any action unless the
indemnifying person shall have approved the terms of such settlement; provided,
however, that such consent shall not be unreasonably withheld. No indemnifying
person shall, without the prior written consent of the indemnified person,
effect any settlement of any pending or threatened proceeding in respect of
which any indemnified person is or could have been a party and indemnification
could have been sought hereunder by such indemnified person, unless such
settlement includes an unconditional release of such indemnified person from all
liability on claims that are the subject matter of such proceeding.

         2.5      Contribution. If the indemnification provided for in this
Section 2 is unavailable to or insufficient to hold harmless an indemnified
person in respect of any

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losses, claims, damages or liabilities (or actions or proceedings in respect
thereof) referred to therein, then each indemnifying person shall contribute to
the amount paid or payable by such indemnified person as a result of such
losses, claims, damages or liabilities (or actions in respect thereof) in such
proportion as is appropriate to reflect the relative fault of the Company, on
the one hand, and the Investor as well as any other Investors under such
Registration Statement, on the other, in connection with the untrue statements
or other matters which resulted in such losses, claims, damages or liabilities
(or actions in respect thereof), as well as any other relevant equitable
considerations. The relative fault shall be determined by reference to, among
other things, in the case of an untrue statement, whether the untrue statement
relates to information supplied by the Company, on the one hand, or an Investor
or other Investors, on the other, and the parties' relative intent, knowledge,
access to information and opportunity to correct or prevent such untrue
statement. The Company and each Investor agrees that it would not be just and
equitable if contribution pursuant to this Section 2.5 were determined by pro
rata allocation (even if the Investors were treated as one entity for such
purpose) or by any other method of allocation which does not take into account
the equitable considerations referred to above in this Section 2.5. The amount
paid or payable by an indemnified person as a result of the losses, claims,
damages or liabilities (or actions in respect thereof) referred to above in this
Section 2.5 shall be deemed to include any legal or other expenses actually and
reasonably incurred by such indemnified person in connection with investigating
or defending any such action or claim. No person guilty of fraudulent
misrepresentation (within the meaning of Section 11(f) of the Securities Act)
shall be entitled to contribution from any person who was not guilty of such
fraudulent misrepresentation. Each Investor's obligations in this Section 2.5 to
contribute shall be in proportion to its sale of Warrant Shares to which such
loss relates and shall not be joint with any other Investor.

         2.6      Investor Acknowledgment and Waiver. Each Investor hereby
acknowledges that it is a sophisticated business person who was represented by
counsel during the negotiations regarding the provisions hereof, including
without limitation the provisions of this Section 2, and is fully informed
regarding said provisions. Each Investor further acknowledges that the
provisions of this Section 2 fairly allocate the risks involved. Each Investor
and the Company are advised that federal or state public policy as interpreted
by the courts in certain jurisdictions may be contrary to certain of the
provisions of this Section 2, and each Investor and the Company hereby expressly
waive and relinquish any right or ability to assert such public policy as a
defense to a claim under this Section 2 and further agree not to attempt to
assert any such defense.

3.       Governing Law. This Agreement and all acts and transactions pursuant
hereto and the rights and obligations of the parties hereto shall be governed,
construed and interpreted in accordance with the laws of the State of Texas,
without giving effect to principles of conflicts of law and choice of law that
would cause the laws of any other jurisdiction to apply.

4.       Successors and Assigns. This Agreement may not be assigned, conveyed or
transferred without the prior written consent of the Company. Subject to the
foregoing, the rights and obligations of the Company and each Investor under
this Agreement shall

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be binding upon and benefit their respective permitted successors and assigns.
The terms and provisions of this Agreement are for the sole benefit of the
parties hereto and their respective permitted successors and assigns, and are
not intended to confer any third-party benefit on any other person; provided,
however, that any non-party entitled to be indemnified pursuant to Section 2.1
or 2.2 shall be entitled to rely on the provisions of Section 2.

5.       Severability. In case any provision of the Agreement shall be invalid,
illegal or unenforceable, the validity, legality and enforceability of the
remaining provisions shall not in any way be affected or impaired thereby.

6.       Amendment or Waiver. Any provision of this Agreement may be amended and
the observance thereof may be waived (either generally or in a particular
instance and either retroactively or prospectively), only upon the written
consent of the Company and the Majority Investors. Any amendment or waiver
effected in accordance with this Section 6 shall be binding upon each Investor
who did not consent in writing thereto.

7.       Notices. All notices required or permitted hereunder shall be in
writing and shall be deemed effectively given: (i) upon personal delivery to the
party to be notified; (ii) when sent by confirmed telex or facsimile if sent
during normal business hours of the recipient, if not, then on the next business
day; (iii) five days after having been sent by registered or certified mail,
return receipt requested, postage prepaid; (iv) if the Investor is located
within of the continental United States the next business day after deposit with
a nationally recognized overnight courier, specifying next day delivery, with
written verification of receipt; or (v) if the Investor is located outside of
the continental United States, the third business day after deposit with an
internationally recognized courier, with written verification of receipt. All
communications shall be sent to the Company at the address as set forth on the
signature page hereof and to each Investor at the address set forth on Schedule
A attached hereto, or at such other address as the Company or each Investor may
designate by 10 days' advance written notice to the other parties hereto.

8.       Titles and Subtitles. The titles of the sections and subsections of the
Agreement are for convenience of reference only and are not to be considered in
construing this Agreement.

9.       Counterparts. This Agreement may be executed in any number of
counterparts, each of which shall be an original, but all of which together
shall constitute one instrument.

10.      Transferees of Warrant Shares. If an Investor transfers Warrant Shares
to a third party that is not a signatory to this Agreement, the Company may, but
shall not be obligated to, permit the transferee of such Warrant Shares to
become a party to this Agreement by executing and delivering to the Company,
with a copy to the Investors, a Joinder to this Agreement in the form attached
hereto as Schedule B, in which event Schedule A shall be amended to reflect the
transfer of such Warrant Shares and the addition of the transferee as a party to
this Agreement.

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         IN WITNESS WHEREOF, the parties hereto have executed this Agreement as
of the date set forth in the first paragraph hereof.

THE COMPANY:

UNITED STATES LIME & MINERALS, INC.

By:_________________________________________
Name:  Timothy W. Byrne
Title: President and Chief Executive Officer

Address: 13800 Montfort Drive, Suite 330
         Dallas, Texas 75240

Telephone: (972) 991-8400
Facsimile: (972) 385-1805

THE PURCHASERS:

CREDIT TRUST S.A.L.                         ABB FINANCE, LIMITED

By: ________________________________        By: ________________________________
Name:  Elias Doumet                         Name: ______________________________
Title: President                            Title: _____________________________

Address:  __________________________        Address:
          __________________________
          __________________________
          __________________________

Telephone:__________________________        Telephone:
Facsimile:__________________________        Facsimile: _________________________

R.S. BEALL CAPITAL PARTNERS, LP

By: Trans Texas Financial Corp., its
    general partner

By:_________________________________
Name:  Robert S. Beall
Title: President

Address:

Telephone:
Facsimile:

<PAGE>

                                   SCHEDULE A

                              SCHEDULE OF INVESTORS

<TABLE>
<CAPTION>
NAME                                     ADDRESS                                      TELEPHONE/FACSIMILE
----                                     -------                                      -------------------
<S>                                      <C>                                          <C>
CREDIT TRUST S.A.L.                      _______________________                      Telephone:_________
                                         _______________________
                                                                                      Facsimile::_________

ABB FINANCE, LIMITED                                                                  Telephone:
                                                                                      Facsimile::_________

R.S. BEALL CAPITAL                                                                    Telephone:
PARTNERS, LP                                                                          Facsimile:
</TABLE>

<PAGE>

                                   SCHEDULE B

                                     JOINDER

                       Made as of _______________________

Reference is made to the Registration Rights Agreement (the "Agreement") entered
into as of August 5, 2003, by and among United States Lime & Minerals, Inc., a
Texas corporation, and each of those persons and entities (the "Investors"),
severally and not jointly, whose names are set forth on the Schedule of
Investors attached thereto as Schedule A.

The undersigned, __________________________ (the "Joining Party") has read the
Agreement and hereby agrees to be bound by all terms and conditions thereof to
which the Investors are bound, such that the term "Investors" as and when used
in the Agreement shall henceforth also include the Joining Party.

                                     ACKNOWLEDGED AND AGREED

                                     [_________________________________________]

                                      By:______________________________________
                                      Name:____________________________________
                                      Title:___________________________________

                                      Telephone: ______________________________

                                      Facsimile: ______________________________

<PAGE>

                                                                       Exhibit A

                         CERTIFICATE OF SUBSEQUENT SALE

 [Company's Transfer Agent Address]

                  RE:   Sale of Shares of Common Stock of United States Lime &
                        Minerals, Inc. (the "Company") pursuant to the Company's
                        prospectus dated _____________, 200_ (the "Prospectus")

Dear Sir/Madam:

         The undersigned hereby certifies, in connection with the sale of shares
of Common Stock of the Company included in the table of selling shareholders in
the Prospectus, that the undersigned has sold the following shares pursuant to
the Prospectus and in a manner described under the caption "Plan of
Distribution" in the Prospectus, and that such sale complies with all Federal
and state securities laws applicable to the undersigned, including without
limitation the prospectus delivery requirements of the Securities Act of 1933,
as amended.

Selling Shareholder (the beneficial owner):_____________________________________

Record Holder (e.g., if held in name of nominee):_______________________________

Restricted Stock Certificate No(s):_____________________________________________

Number of Shares Sold:__________________________________________________________

Date of Sale:___________________________________________________________________

         In the event that you receive a stock certificate(s) representing more
shares of Common Stock than have been sold by the undersigned, then you should
return to the undersigned a newly issued certificate for such excess shares in
the name of the Record Holder and bearing the same restrictive legend. Further,
you should place a stop transfer on your records with regard to such
certificate.

                                                         Very truly yours,

Dated: ________________________________          By: ___________________________
                                                 Print Name: ___________________
                                                 Title: ________________________

cc:    United States Lime & Minerals, Inc.
       Attn: Chief Financial Officer
       13800 Montfort Drive, Suite 330
       Dallas, TX 75240<PAGE>
                                                                    EXHIBIT 10.5

                                 THIRD AMENDMENT
                                       TO
                                CREDIT AGREEMENT

                  THIS THIRD AMENDMENT TO CREDIT AGREEMENT, dated as of the ___
day of August, 2003 (this "Third Amendment"), by and among UNITED STATES LIME &
MINERALS, INC., a Texas corporation ("U.S. Lime"), TEXAS LIME COMPANY, a Texas
corporation wholly owned by U.S. Lime ("TLC"), ARKANSAS LIME COMPANY, an
Arkansas corporation wholly owned by U.S. Lime ("ALC") (U.S. Lime, TLC and ALC
are collectively referred to as "Borrowers" and individually as a "Borrower"),
the Lenders who are parties to the Credit Agreement described below
(collectively, the "Lenders"), and NATIONAL CITY BANK, as successor
Administrative Agent to Wachovia Bank, National Association, formerly known as
First Union National Bank, as Administrative Agent for itself and the Lenders
from time to time party thereto (the "Administrative Agent").

                                   Background

         A Borrowers, Lenders, and Administrative Agent are parties to the
Credit Agreement dated as of April 22, 1999, as amended by the First Amendment
to Credit Agreement dated as of December 27, 2000, and a letter agreement dated
March 4, 2003 (as amended, restated, or otherwise modified and in effect from
time to time, the "Credit Agreement"), pursuant to which the Lenders agreed,
subject to the terms and conditions of the Credit Agreement, to lend to
Borrowers the sum of Fifty Million Dollars ($50,000,000) on a term loan basis
secured by substantially all of the respective Borrowers' personal property
other than Accounts, Inventory, and related personal property, and by mortgages
or deeds of trust on certain real property owned by ALC and TLC. All initially
capitalized terms used herein and not otherwise defined herein shall have the
same meanings ascribed to such terms in the Credit Agreement.

         B Pursuant to an Assignment and Acceptance dated as of February 28,
2003, Wachovia Bank, National Association, formerly known as First Union
National Bank ("Wachovia") assigned, and National City Bank ("NatCity") assumed,
Wachovia's 34% Pro Rata Share of the Loans. In connection therewith, Wachovia
resigned as Administrative Agent and Required Lenders consented to the
appointment of NatCity as successor Administrative Agent pursuant to a letter
agreement dated February 20, 2003.

         C U.S. Lime has incurred $14,000,000 of additional Debt to fund the
second phase of ALC's plant construction (the "Phase II Debt"), evidenced by
promissory notes of U.S. Lime copies of which are attached hereto as Exhibit "A"
(the "Phase II Notes"). In connection with the Phase II Notes, U.S. Lime will
issue to the holders of the Phase II Notes warrants to purchase an aggregate of
162,000 shares of U.S. Lime's common stock (the "Warrants"). Borrowers and
Lenders desire to amend the Credit Agreement to permit the issuance of the
Warrants, approve the terms of the Phase II Debt, provide for the curtailment of
Dividends for a period of two years, and amend the Tangible Net Worth covenant.
Required Lenders have agreed to approve the terms of the Phase II Debt and the
other amendments effected hereby, subject to the terms, conditions and
provisions hereof.

                                       1
<PAGE>
         NOW, THEREFORE, in consideration of the foregoing and of the mutual
covenants set forth herein, the parties hereto, intending to be legally bound
hereby, agree as follows:

         1. Ratification. This Third Amendment is a modification of the Credit
Agreement pursuant to Section 12.11 thereof. Except as expressly set forth
herein, or in any amendment to any of the documents referred to herein,
Borrowers, the Required Lenders and the Administrative Agent acknowledge and
agree that each and every term, condition and provision of the Credit Agreement
is hereby ratified and confirmed in full. The Required Lenders hereby consent to
the amendment of the Working Capital Facility effected by the First Amendment to
Loan and Security Agreement among the Borrowers and NatCity in substantially the
form attached hereto as Exhibit "B" and to the Working Capital Facility as
amended thereby.

         2. Outstanding Indebtedness. Borrowers hereby unconditionally
acknowledge that, as of the date hereof, the principal balance due and owing to
the Lenders under the Credit Agreement is $39,166,666.23, and that such amount,
together with interest thereon at the rates set forth therein, is owing to the
Lenders without claim, counterclaim, recoupment, defense or setoff of any kind.

         3. NatCity Individually and as Administrative Agent. Effective as of
February 28, 2003: (i) all references to the Administrative Agent in the Credit
Agreement shall mean and refer to NatCity in such capacity; and (ii) references
in the Credit Agreement to First Union, as the provider of the Working Capital
Facility, shall henceforth mean and refer to NatCity in such capacity. NatCity
confirms and acknowledges the accuracy of the statements contained in paragraph
B of the Background preamble set forth above.

         4. Tangible Net Worth Covenant. Section 8.2 of the Credit Agreement is
hereby amended and restated in its entirety as of the date hereof as follows:

         "Permit Tangible Net Worth as of the last day of any fiscal quarter to
         be less than the sum of $25,000,000 ($30,000,000 for the fiscal quarter
         ended June 30, 2003 and each fiscal quarter thereafter), plus 50% of
         Borrowers' cumulative Net Income from January 1, 1999 calculated for
         each succeeding fiscal quarter through the last day of such fiscal
         quarter.

         5. Warrants. The undersigned Lenders hereby consent to the issuance of
the Warrants.

         6. Transactions With Affiliates. Borrowers represent and warrant to
Lenders that the Phase II Notes, the Warrants, and the related Note and Warrant
Purchase Agreement and Registration Rights Agreement (collectively, the "Phase
II Debt Documents") fully disclose the transactions contemplated thereby, and
there are no other documents or instruments delivered in connection with such
transactions other than the Phase II Debt Documents and a related Confidential
Memorandum dated May 2003 prepared by Frost Securities, Inc. with respect to
U.S. Lime. The undersigned Lenders acknowledge that one or more of the holders
of the Phase II Notes and Warrants is an Affiliate of Borrowers, and hereby
approve the fairness and reasonableness of the Phase II Debt Documents as
required by Section 9.9 of the Credit Agreement.

                                       2
<PAGE>

         7. Suspension of Dividends. Section 9.7 of the Credit Agreement
notwithstanding, during the two-year period commencing June 30, 2003 to June 30,
2005, U.S. Lime will not declare, pay or accrue any dividend payable in cash to
any of its shareholders without the prior written consent of Required Lenders.

         8. Amendments to Phase II Debt; Notice. U.S. Lime agrees (i) not to
amend or modify the put right in the Common Stock Purchase Warrants issued to
the holders of the Phase II Debt without the prior written consent of
Administrative Agent, and (ii) to provide prompt written notice to
Administrative Agent of any amendment, restatement or other modification of any
of the Phase II Debt Documents. Upon the occurrence and continuance of an Event
of Default, Borrowers shall promptly notify each Holder of the Phase II Notes
thereof and the commencement of a Standstill Period (as defined in the Phase II
Notes) if then applicable.

         9. Representations and Warranties. To induce the Required Lenders to
approve the modifications contemplated by this Third Amendment and the Phase II
Debt, Borrowers jointly and severally represent and warrant to the Lenders and
Administrative Agent as follows:

                  9.1 After giving effect to the modifications contained herein,
all representations, warranties and covenants made by Borrowers to the Lenders
and the Administrative Agent in the Credit Agreement (except those relating to a
specific date) are true and correct in all material respects as of the date
hereof, with the same force and effect as though made as of the date hereof;

                  9.2 No Event of Default or Default has occurred and is
continuing under the Credit Agreement as of the date hereof, and neither the
execution, delivery nor performance of the Phase II Notes or the Warrants
results in the occurrence of any Event of Default or Default;

                  9.3 Each Borrower is a corporation validly subsisting under
the laws of the state of its incorporation; the execution, delivery and
performance of this Third Amendment and any other documents and instruments
executed and delivered by the Borrowers to the Lenders or the Administrative
Agent in connection herewith (i) are within each Borrower's corporate powers,
(ii) have been duly authorized by each Borrower's Board of Directors, (iii) do
not contravene any provision of law or any indenture, agreement or undertaking
to which any Borrower is a party or by which it is otherwise bound, any
Borrower's Articles of Incorporation or bylaws, or any resolution of the Board
of Directors of any Borrower, and (iv) require no consent or approval of any
governmental authority or any third party which has not been obtained; and

                  9.4 In the case of each Borrower, this Third Amendment and any
other documents and instruments executed and delivered by such Borrower to the
Lenders or the Administrative Agent in connection herewith have each been
validly executed by, and are enforceable against, such Borrower in accordance
with their respective terms.

Any failure of any of the representations and warranties made by Borrowers in
this Third Amendment to be true and correct in all material respects when made
shall constitute an Event of Default under the Credit Agreement.

                                       3
<PAGE>

         10. Conditions Precedent. The effectiveness of the amendments to the
Credit Agreement and the consents set forth herein are subject to the
satisfaction of the following conditions precedent:

                  10.1 Borrowers and NatCity, in its individual capacity and not
as Administrative Agent, shall have executed and delivered an amendment to the
Working Capital Facility;

                  10.2 Administrative Agent shall be a third party beneficiary
of the subordination and standstill provisions contained in the Phase II Notes;

                  10.3 The Administrative Agent shall have received true,
correct and complete copies of resolutions of the Board of Directors of each
Borrower authorizing the execution, delivery and performance of this Third
Amendment, and the other documents and instruments executed and delivered by any
Borrower in connection herewith, including the Phase II Debt Documents,
certified by such Borrower's Secretary as being true and complete copies of the
originals thereof and remaining in full force and effect, not having been
modified or rescinded;

                  10.4 No less than the Required Lenders shall have approved the
modifications contemplated by, and authorized Administrative Agent to execute,
this Third Amendment;

                  10.5 Borrowers shall have delivered to Administrative Agent
true, correct and complete copies of all of the Phase II Debt Documents, and all
other documents and instruments executed and delivered in connection therewith.
All of the documents and instruments referred to in this Section 10 shall be
satisfactory in form and substance to the Administrative Agent. Each of the
Required Lenders approving this Third Amendment hereby authorizes the
Administrative Agent to confirm such fact to the Borrowers in writing.

                  10.6 Borrowers hereby authorize Administrative Agent to submit
one or more Uniform Commercial Code financing statements as fixture filings for
recording in the real estate records of Caddo Parish, Louisiana.

         11. Miscellaneous.

                  11.1 Entire Agreement. The Credit Agreement, as amended by
this Third Amendment, and the other Loan Documents embody the entire agreement
and understanding among the Lenders, the Administrative Agent and Borrowers. The
Credit Agreement, together with this Third Amendment, and all documents executed
and delivered in connection herewith, supersede all prior agreements and
understandings relating to subject matter hereof. This Third Amendment together
with the Credit Agreement, and the documents executed and delivered in
connection herewith, shall be construed as one agreement, and in the event of
any inconsistency, the provisions of any promissory note evidencing a portion of
the Indebtedness shall control over the provisions of this Third Amendment.

                  11.2 Counterparts. This Third Amendment may be executed in any
number of counterparts and by different parties on separate counterparts, each
of which counterparts, when so executed and delivered, shall be deemed to be an
original and all of which counterparts, taken

                                       4
<PAGE>

together, shall constitute but one and the same instrument. This Third Amendment
shall be effective upon the execution and delivery of a counterpart hereof by
each of the parties hereto.

                  11.3 Captions. The captions or headings in this Third
Amendment are for convenience of reference only and in no way define, limit, or
circumscribe the scope or intent of any provision of this Third Amendment.

                  11.4 Successors and Assigns; Governing Law. This Third
Amendment shall be binding upon and inure to the benefit of the respective
parties hereto and their successors and assigns and shall be governed by, and
construed and enforced in accordance with, the internal laws of the Commonwealth
of Pennsylvania without regard to its principles of conflicts of laws.

                   [balance of page intentionally left blank]

                                       5
<PAGE>

         IN WITNESS WHEREOF, intending to be legally bound hereby, the
undersigned have executed this Third Amendment as of the day and year first
written above.

                                 UNITED STATES LIME & MINERALS, INC., as
                                 Borrower

                                 By:
                                     ------------------------------------
                                       Name:
                                            -----------------------------
                                       Title:
                                             ----------------------------

                                 TEXAS LIME COMPANY, as Borrower

                                 By:
                                     ------------------------------------
                                       Name:
                                            -----------------------------
                                       Title:
                                             ----------------------------

                                 ARKANSAS LIME COMPANY, as Borrower

                                 By:
                                     ------------------------------------
                                       Name:
                                            -----------------------------
                                       Title:
                                             ----------------------------

                                 NATIONAL CITY BANK, as Administrative Agent
                                 and Lender

                                 By:
                                     ------------------------------------
                                       Name:
                                            -----------------------------
                                       Title:
                                             ----------------------------

                                       6
<PAGE>

                                   Exhibit "A"

                      Copies of Phase II Subordinated Notes

                                       7
<PAGE>

                                   Exhibit "B"

                           Form of First Amendment to
                           Loan and Security Agreement

                                       8

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