<PAGE>

                                                                    EXHIBIT 10.4
                                MICROTUNE, INC.

                           2000 DIRECTOR OPTION PLAN

  1.   Purposes of the Plan.  The purposes of this 2000 Director Option Plan are
       --------------------
to attract and retain the best available personnel for service as Outside
Directors (as defined herein) of the Company, to provide additional incentive to
the Outside Directors of the Company to serve as Directors, and to encourage
their continued service on the Board.

          All Options granted hereunder shall be nonstatutory stock options.

  2.   Definitions.  As used herein, the following definitions shall apply:
       -----------

          (a) "Board" means the Board of Directors of the Company.
               -----

          (b) "Code" means the Internal Revenue Code of 1986, as amended.
               ----

          (c) "Common Stock" means the common stock of the Company.
               ------------

          (d) "Company" means Microtune, Inc., a Delaware corporation.
               -------

          (e) "Director" means a member of the Board.
               --------

          (f) "Disability" means total and permanent disability as defined in
               ----------
section 22(e)(3) of the Code.

          (g) "Employee" means any person, including officers and Directors,
               --------
employed by the Company or any Parent or Subsidiary of the Company. The payment
of a Director's fee by the Company shall not be sufficient in and of itself to
constitute "employment" by the Company.

          (h) "Exchange Act" means the Securities Exchange Act of 1934, as
               ------------
 amended.

          (i) "Fair Market Value" means, as of any date, the value of Common
               -----------------
Stock determined as follows:

                    (i)  If the Common Stock is listed on any established stock
exchange or a national market system, including without limitation the Nasdaq
National Market or The Nasdaq SmallCap Market of The Nasdaq Stock Market, its
Fair Market Value shall be the closing sales price for such stock (or the
closing bid, if no sales were reported) as quoted on such exchange or system on
the day of determination as reported in The Wall Street Journal or such other
source as the Administrator deems reliable;

                    (ii) If the Common Stock is regularly quoted by a recognized
securities dealer but selling prices are not reported, the Fair Market Value of
a Share of Common Stock shall be the mean between the high bid and low asked
prices for the Common Stock for the day of
<PAGE>

determination, as reported in The Wall Street Journal or such other source as
the Board deems reliable; or

                    (iii)  In the absence of an established market for the
Common Stock, the Fair Market Value thereof shall be determined in good faith by
the Board.

          (j) "Inside Director" means a Director who is an Employee.
               ---------------

          (k) "Option" means a stock option granted pursuant to the Plan.
               ------

          (l) "Optioned Stock" means the Common Stock subject to an Option.
               --------------

          (m) "Optionee" means a Director who holds an Option.
               --------

          (n) "Outside Director" means a Director who is not an Employee.
               ----------------

          (o) "Parent" means a "parent corporation," whether now or hereafter
               ------
existing, as defined in Section 424(e) of the Code.

          (p) "Plan" means this 2000 Director Option Plan.
               ----

          (q) "Share" means a share of the Common Stock, as adjusted in
               -----
accordance with Section 10 of the Plan.

          (r) "Subsidiary" means a "subsidiary corporation," whether now or
               ----------
hereafter existing, as defined in Section 424(f) of the Internal Revenue Code of
1986.

  3.   Stock Subject to the Plan.  Subject to the provisions of Section 10 of
       -------------------------
the Plan, the maximum aggregate number of Shares which may be optioned and sold
under the Plan is 150,000 Shares plus an annual increase to be added on the
first day of the Company's fiscal year beginning in 2001, equal to the lesser of
(i) 75,000 shares, (ii) 1.0% of the outstanding shares on such date or (iii) an
amount determined by the Board. Notwithstanding the preceding sentence, unless
otherwise approved by the Board, in no event shall the number of shares
available for issuance under this Plan be increased as set forth in the
preceding sentence if such increase in addition to any proposed increases in the
number of shares available under all other employee and director stock plans
(including without limitation, the 2000 Stock Plan and the 2000 Employee Stock
Purchase Plan) will result in the total number of shares available under all
employee and director stock plans equaling or exceeding 30% of the outstanding
shares of the Company on the first day of the respective fiscal year. The Shares
may be authorized, but unissued, or reacquired Common Stock.

          If an Option expires or becomes unexercisable without having been
exercised in full, the unpurchased Shares which were subject thereto shall
become available for future grant or sale under the Plan (unless the Plan has
terminated).  Shares that have actually been issued under the Plan shall not be
returned to the Plan and shall not become available for future distribution
under the Plan.

  4.   Administration and Grants of Options under the Plan.
       ---------------------------------------------------

          (a) Procedure for Grants.  All grants of Options to Outside Directors
              --------------------
 under this Plan shall be automatic and nondiscretionary and shall be made
strictly in accordance with the following provisions:
<PAGE>

               (i)   No person shall have any discretion to select which Outside
Directors shall be granted Options or to determine the number of Shares to be
covered by Options.

               (ii)  Each Outside Director shall be automatically granted an
Option to purchase 10,000 Shares (the "First Option") on the date on which such
person first becomes an Outside Director, whether through election by the
shareholders of the Company or appointment by the Board to fill a vacancy;
provided, however, that an Inside Director who ceases to be an Inside Director
but who remains a Director shall not receive a First Option.

               (iii) Each Outside Director shall be automatically granted an
Option to purchase 5,000 Shares (a "Subsequent Option") on the date of the
Company's annual stockholder's meeting of each year, provided he or she is then
an Outside Director and if as of such date, he or she shall have served on the
Board for at least the preceding six (6) months.

               (iv)  Notwithstanding the provisions of subsections (ii) and
(iii) hereof, any exercise of an Option granted before the Company has obtained
shareholder approval of the Plan in accordance with Section 16 hereof shall be
conditioned upon obtaining such shareholder approval of the Plan in accordance
with Section 16 hereof.

               (v)   The terms of a First Option granted hereunder shall be as
follows:

                     (A) the term of the First Option shall be ten (10) years.

                     (B) the First Option shall be exercisable only while the
Outside Director remains a Director of the Company, except as set forth in
Sections 8 and 10 hereof.

                     (C) the exercise price per Share shall be 100% of the Fair
Market Value per Share on the date of grant of the First Option.

                     (D) subject to Section 10 hereof, the First Option shall
become exercisable as to 33 1/3 % of the Shares subject to the First Option on
each anniversary of its date of grant, provided that the Optionee continues to
serve as a Director on such dates.

               (vi)  The terms of a Subsequent Option granted hereunder shall be
as follows:

                     (A) the term of the Subsequent Option shall be ten (10)
years.

                     (B) the Subsequent Option shall be exercisable only while
the Outside Director remains a Director of the Company, except as set forth in
Sections 8 and 10 hereof.

                     (C) the exercise price per Share shall be 100% of the Fair
Market Value per Share on the date of grant of the Subsequent Option.
<PAGE>

                     (D) subject to Section 10 hereof, the Subsequent Option
shall become exercisable as to 50% of the Shares subject to the Subsequent
Option on the first anniversary of its date of grant, provided that the Optionee
continues to serve as a Director on such date.

               (vii) In the event that any Option granted under the Plan would
cause the number of Shares subject to outstanding Options plus the number of
Shares previously purchased under Options to exceed the Pool, then the remaining
Shares available for Option grant shall be granted under Options to the Outside
Directors on a pro rata basis.  No further grants shall be made until such time,
if any, as additional Shares become available for grant under the Plan through
action of the Board or the shareholders to increase the number of Shares which
may be issued under the Plan or through cancellation or expiration of Options
previously granted hereunder.

  5.   Eligibility.  Options may be granted only to Outside Directors.  All
       -----------
Options shall be automatically granted in accordance with the terms set forth in
Section 4 hereof.

          The Plan shall not confer upon any Optionee any right with respect to
continuation of service as a Director or nomination to serve as a Director, nor
shall it interfere in any way with any rights which the Director or the Company
may have to terminate the Director's relationship with the Company at any time.

  6.   Term of Plan.  The Plan shall become effective upon the earlier to occur
       ------------
of its adoption by the Board or its approval by the shareholders of the Company
as described in Section 16 of the Plan.  It shall continue in effect for a term
of ten (10) years unless sooner terminated under Section 11 of the Plan.

  7.   Form of Consideration.  The consideration to be paid for the Shares to be
       ---------------------
issued upon exercise of an Option, including the method of payment, shall
consist of (i) cash, (ii) check, (iii) other Shares, provided Shares acquired
directly from the Company, (x) have been owned by the Optionee for more than six
(6) months on the date of surrender, and (y) have a Fair Market Value on the
date of surrender equal to the aggregate exercise price of the Shares as to
which said Option shall be exercised, (iv) consideration received by the Company
under a cashless exercise program implemented by the Company in connection with
the Plan, or (v) any combination of the foregoing methods of payment.

  8.   Exercise of Option.
       ------------------

          (a) Procedure for Exercise; Rights as a Shareholder. Any Option
              -----------------------------------------------
granted hereunder shall be exercisable at such times as are set forth in Section
4 hereof; provided, however, that no Options shall be exercisable until
shareholder approval of the Plan in accordance with Section 16 hereof has been
obtained. An Option may not be exercised for a fraction of a Share.

                    An Option shall be deemed to be exercised when written
notice of such exercise has been given to the Company in accordance with the
terms of the Option by the person entitled to exercise the Option and full
payment for the Shares with respect to which the Option is exercised has been
received by the Company. Full payment may consist of any consideration and
<PAGE>

method of payment allowable under Section 7 of the Plan. Until the issuance (as
evidenced by the appropriate entry on the books of the Company or of a duly
authorized transfer agent of the Company) of the stock certificate evidencing
such Shares, no right to vote or receive dividends or any other rights as a
shareholder shall exist with respect to the Optioned Stock, notwithstanding the
exercise of the Option. A share certificate for the number of Shares so acquired
shall be issued to the Optionee as soon as practicable after exercise of the
Option. No adjustment shall be made for a dividend or other right for which the
record date is prior to the date the stock certificate is issued, except as
provided in Section 10 of the Plan.

               Exercise of an Option in any manner shall result in a decrease in
the number of Shares which thereafter may be available, both for purposes of the
Plan and for sale under the Option, by the number of Shares as to which the
Option is exercised.

          (b) Termination of Continuous Status as a Director.  Subject to
              ----------------------------------------------
Section 10 hereof, in the event an Optionee's status as a Director terminates
(other than upon the Optionee's death or Disability), the Optionee may exercise
his or her Option, but only within three (3) months following the date of such
termination, and only to the extent that the Optionee was entitled to exercise
it on the date of such termination (but in no event later than the expiration of
its ten (10) year term). To the extent that the Optionee was not entitled to
exercise an Option on the date of such termination, and to the extent that the
Optionee does not exercise such Option (to the extent otherwise so entitled)
within the time specified herein, the Option shall terminate.

          (c) Disability of Optionee.  In the event Optionee's status as a
              ----------------------
Director terminates as a result of Disability, the Optionee may exercise his or
her Option, but only within six (6) months following the date of such
termination, and only to the extent that the Optionee was entitled to exercise
it on the date of such termination (but in no event later than the expiration of
its ten (10) year term). To the extent that the Optionee was not entitled to
exercise an Option on the date of termination, or if he or she does not exercise
such Option (to the extent otherwise so entitled) within the time specified
herein, the Option shall terminate.

          (d) Death of Optionee.  In the event of an Optionee's death, the
              -----------------
Optionee's estate or a person who acquired the right to exercise the Option by
bequest or inheritance may exercise the Option, but only within twelve (12)
months following the date of death, and only to the extent that the Optionee was
entitled to exercise it on the date of death (but in no event later than the
expiration of its ten (10) year term). To the extent that the Optionee was not
entitled to exercise an Option on the date of death, and to the extent that the
Optionee's estate or a person who acquired the right to exercise such Option
does not exercise such Option (to the extent otherwise so entitled) within the
time specified herein, the Option shall terminate.

  9.   Limited Transferability of Options. An Option may not be sold, pledged,
       ----------------------------------
assigned, hypothecated, transferred or disposed of in any manner other than by
will or by the laws of descent or distribution and may be exercised, during the
lifetime of the Optionee, only by the Optionee; provided, however that the
Optionee may transfer, without payment of consideration, the Option to any
member of the Optionee's immediate family or to a trust or partnership whose
beneficiaries are
<PAGE>

members of the Optionee's immediate family. In such case, the Option shall be
exercisable only by such transferee. Following transfer, the Option shall
continue to be subject to the same terms and conditions as were applicable
immediately prior to the transfer. For purposes of this Section, an Optionee's
"immediate family" shall mean the Optionee's spouse, children and
grandchildren."

  10. Adjustments Upon Changes in Capitalization, Dissolution, Merger or Asset
      ------------------------------------------------------------------------
Sale.
----

          (a) Changes in Capitalization.  Subject to any required action by the
              -------------------------
shareholders of the Company, the number of Shares covered by each outstanding
Option, the number of Shares which have been authorized for issuance under the
Plan but as to which no Options have yet been granted or which have been
returned to the Plan upon cancellation or expiration of an Option, the number of
shares that may be added annually to the shares reserved under the Plan
(pursuant to Section 3(a)(i)), as well as the price per Share covered by each
such outstanding Option, and the number of Shares issuable pursuant to the
automatic grant provisions of Section 4 hereof shall be proportionately adjusted
for any increase or decrease in the number of issued Shares resulting from a
stock split, reverse stock split, stock dividend, combination or
reclassification of the Common Stock, or any other increase or decrease in the
number of issued Shares effected without receipt of consideration by the
Company; provided, however, that conversion of any convertible securities of the
Company shall not be deemed to have been "effected without receipt of
consideration."  Except as expressly provided herein, no issuance by the Company
of shares of stock of any class, or securities convertible into shares of stock
of any class, shall affect, and no adjustment by reason thereof shall be made
with respect to, the number or price of Shares subject to an Option.

          (b) Dissolution or Liquidation.  In the event of the proposed
              --------------------------
dissolution or liquidation of the Company, to the extent that an Option has not
been previously exercised, it shall terminate immediately prior to the
consummation of such proposed action.

          (c) Merger or Asset Sale.  In the event of a merger of the Company
              --------------------
with or into another corporation or the sale of substantially all of the assets
of the Company, outstanding Options may be assumed or equivalent options may be
substituted by the successor corporation or a Parent or Subsidiary thereof (the
"Successor Corporation"). If an Option is assumed or substituted for, the Option
or equivalent option shall continue to be exercisable as provided in Section 4
hereof for so long as the Optionee serves as a Director or a director of the
Successor Corporation. Following such assumption or substitution, if the
Optionee's status as a Director or director of the Successor Corporation, as
applicable, is terminated other than upon a voluntary resignation by the
Optionee, the Option or option shall become fully exercisable, including as to
Shares for which it would not otherwise be exercisable. Thereafter, the Option
or option shall remain exercisable in accordance with Sections 8(b) through (d)
above.

               If the Successor Corporation does not assume an outstanding
Option or substitute for it an equivalent option, the Option shall become fully
vested and exercisable, including as to Shares for which it would not otherwise
be exercisable. In such event the Board shall notify the Optionee that the
Option shall be fully exercisable for a period of thirty (30) days from the date
of such notice, and upon the expiration of such period the Option shall
terminate.

               For the purposes of this Section 10(c), an Option shall be
considered assumed if, following the merger or sale of assets, the Option
confers the right to purchase or receive, for each Share of Optioned Stock
subject to the Option immediately prior to the merger or sale of assets, the
consideration (whether stock, cash, or other securities or property) received in
the merger or sale of
<PAGE>

assets by holders of Common Stock for each Share held on the effective date of
the transaction (and if holders were offered a choice of consideration, the type
of consideration chosen by the holders of a majority of the outstanding Shares).
If such consideration received in the merger or sale of assets is not solely
common stock of the successor corporation or its Parent, the Administrator may,
with the consent of the successor corporation, provide for the consideration to
be received upon the exercise of the Option, for each Share of Optioned Stock
subject to the Option, to be solely common stock of the successor corporation or
its Parent equal in fair market value to the per share consideration received by
holders of Common Stock in the merger or sale of assets.

  11.  Amendment and Termination of the Plan.
       -------------------------------------

          (a) Amendment and Termination.  The Board may at any time amend,
              -------------------------
alter, suspend, or discontinue the Plan, but no amendment, alteration,
suspension, or discontinuation shall be made which would impair the rights of
any Optionee under any grant theretofore made, without his or her consent. In
addition, to the extent necessary and desirable to comply with any applicable
law, regulation or stock exchange rule, the Company shall obtain shareholder
approval of any Plan amendment in such a manner and to such a degree as
required.

          (b) Effect of Amendment or Termination.  Any such amendment or
              ----------------------------------
termination of the Plan shall not affect Options already granted and such
Options shall remain in full force and effect as if this Plan had not been
amended or terminated.

  12.  Time of Granting Options.  The date of grant of an Option shall, for all
       ------------------------
purposes, be the date determined in accordance with Section 4 hereof.

  13.  Conditions Upon Issuance of Shares.  Shares shall not be issued pursuant
       ----------------------------------
to the exercise of an Option unless the exercise of such Option and the issuance
and delivery of such Shares pursuant thereto shall comply with all relevant
provisions of law, including, without limitation, the Securities Act of 1933, as
amended, the Exchange Act, the rules and regulations promulgated thereunder,
state securities laws, and the requirements of any stock exchange upon which the
Shares may then be listed, and shall be further subject to the approval of
counsel for the Company with respect to such compliance.

          As a condition to the exercise of an Option, the Company may require
the person exercising such Option to represent and warrant at the time of any
such exercise that the Shares are being purchased only for investment and
without any present intention to sell or distribute such Shares, if, in the
opinion of counsel for the Company, such a representation is required by any of
the aforementioned relevant provisions of law.

          Inability of the Company to obtain authority from any regulatory body
having jurisdiction, which authority is deemed by the Company's counsel to be
necessary to the lawful issuance and sale of any Shares hereunder, shall relieve
the Company of any liability in respect of the failure to issue or sell such
Shares as to which such requisite authority shall not have been obtained.
<PAGE>

  14.  Reservation of Shares.  The Company, during the term of this Plan, will
       ---------------------
at all times reserve and keep available such number of Shares as shall be
sufficient to satisfy the requirements of the Plan.

  15.  Option Agreement.  Options shall be evidenced by written option
       ----------------
agreements in such form as the Board shall approve.

  16.  Shareholder Approval.  The Plan shall be subject to approval by the
       --------------------
shareholders of the Company within twelve (12) months after the date the Plan is
adopted.  Such shareholder approval shall be obtained in the degree and manner
required under applicable state and federal law and any stock exchange rules.
<PAGE>

                                   EXHIBIT A
                                   ---------

                        DIRECTOR OPTION EXERCISE NOTICE

Microtune, Inc.
2540 E. Plano Parkway, Suite 188
Plano, TX 75074

Attention:  Corporate Secretary

     1.   Exercise of Option.  The undersigned ("Optionee") hereby elects to
          ------------------
exercise Optionee's option to purchase ______ shares of the Common Stock (the
"Shares") of Microtune, Inc. (the "Company") under and pursuant to the Company's
2000 Director Option Plan and the Director Option Agreement dated
_______________ (the "Agreement").

     2.   Representations of Optionee.  Optionee acknowledges that Optionee has
          ---------------------------
received, read and understood the Agreement.

     3.   Federal Restrictions on Transfer.  Optionee understands that the
          --------------------------------
Shares must be held indefinitely unless they are registered under the Securities
Act of 1933, as amended (the ?1933 Act?), or unless an exemption from such
registration is available, and that the certificate(s) representing the Shares
may bear a legend to that effect. Optionee understands that the Company is under
no obligation to register the Shares and that an exemption may not be available
or may not permit Optionee to transfer Shares in the amounts or at the times
proposed by Optionee.

     4.   Tax Consequences.  Optionee understands that Optionee may suffer
          ----------------
adverse tax consequences as a result of Optionee's purchase or disposition of
the Shares. Optionee represents that Optionee has consulted with any tax
consultant(s) Optionee deems advisable in connection with the purchase or
disposition of the Shares and that Optionee is not relying on the Company for
any tax advice.

     5.   Delivery of Payment.  Optionee herewith delivers to the Company the
          -------------------
aggregate purchase price for the Shares that Optionee has elected to purchase
and has made provision for the payment of any federal or state withholding taxes
required to be paid or withheld by the Company.

     6.   Entire Agreement.  The Agreement is incorporated herein by reference.
          ----------------
This Exercise Notice and the Agreement constitute the entire agreement of the
parties and supersede in their entirety all prior undertakings and agreements of
the Company and Optionee with respect to the
<PAGE>

subject matter hereof. This Exercise Notice and the Agreement are governed by
Texas law except for that body of law pertaining to conflict of laws.

     Submitted by:                  Accepted by:

     OPTIONEE:                      MICROTUNE, INC.


     By:___________________         By:_______________________

                                    Its:______________________

     Address:



     Dated:________________         Dated:____________________

                                      -2-
<PAGE>

                                                                    FIRST OPTION

                                MICROTUNE, INC.

                           DIRECTOR OPTION AGREEMENT

     Microtune, Inc., (the "Company"), has granted to ___________________ (the
"Optionee") an option to purchase a total of [_______] shares of the Company's
Common Stock (the "Optioned Stock"), at the price determined as provided herein,
and in all respects subject to the terms, definitions and provisions of the
Company's 2000 Director Option Plan (the "Plan") adopted by the Company which is
incorporated herein by reference.  The terms defined in the Plan shall have the
same defined meanings herein.

     1.   Nature of the Option.  This Option is a nonstatutory option and is not
          --------------------
intended to qualify for any special tax benefits to the Optionee.

     2.   Exercise Price.  The exercise price is $_______ for each share of
          --------------
 Common Stock.

     3.   Exercise of Option.  This Option shall be exercisable during its term
          ------------------
in accordance with the provisions of Section 8 of the Plan as follows:

               (i)   Right to Exercise.
                     -----------------

                     (a) This Option shall become exercisable in installments
cumulatively with respect to 1/3 of the Optioned Stock on each anniversary of
its date of grant, so that one hundred percent (100%) of the Optioned Stock
shall be exercisable three years after the date of grant; provided, however,
that in no event shall any Option be exercisable prior to the date the
stockholders of the Company approve the Plan.

                     (b) This Option may not be exercised for a fraction of a
share.

                     (c) In the event of Optionee's death, disability or other
termination of service as a Director, the exercisability of the Option is
governed by Section 8 of the Plan.

               (ii)  Method of Exercise.  This Option shall be exercisable by
                     ------------------
written notice which shall state the election to exercise the Option and the
number of Shares in respect of which the Option is being exercised. Such written
notice, in the form attached hereto as Exhibit A, shall be signed by the
                                       ---------
Optionee and shall be delivered in person or by certified mail to the Secretary
of the Company. The written notice shall be accompanied by payment of the
exercise price.

     4.   Method of Payment.  Payment of the exercise price shall be by any of
          -----------------
the following, or a combination thereof, at the election of the Optionee:

               (i)   cash;

               (ii)  check; or

               (iii) surrender of other Shares, provided Shares acquired from
the Company, (x) have been owned by the Optionee for more than six (6) months on
the date of surrender, and (y) have a Fair Market Value on the date of surrender
equal to the aggregate exercise price of the Shares as to which said Option
shall be exercised; or

               (iv)  consideration received by the Company under a cashless
exercise program implemented by the Company in connection with the Plan.
<PAGE>

     5.   Restrictions on Exercise.  This Option may not be exercised if the
          ------------------------
issuance of such Shares upon such exercise or the method of payment of
consideration for such shares would constitute a violation of any applicable
federal or state securities or other law or regulations, or if such issuance
would not comply with the requirements of any stock exchange upon which the
Shares may then be listed.  As a condition to the exercise of this Option, the
Company may require Optionee to make any representation and warranty to the
Company as may be required by any applicable law or regulation.

     6.   Limited Transferability of Option.  This Option may not be sold,
          ---------------------------------
pledged, assigned, hypothecated, transferred or disposed of in any manner other
than by will or by the laws of descent or distribution and may be exercised,
during the lifetime of the Optionee, only by the Optionee; provided, however,
that the Optionee may transfer, without payment of consideration, the Option to
any member of the Optionee's immediate family or to a trust or partnership whose
beneficiaries are members of the Optionee's immediate family by completing an
Election to Transfer Stock Option Form to be obtained from the Company. In such
case, the Option shall be exercisable only by such transferee. Following
transfer, this Option shall continue to be subject to the same terms and
conditions as were applicable immediately prior to the transfer. For purposes of
this Section, an Optionee's "immediate family" shall mean the Optionee's spouse,
children and grandchildren."

     7.   Term of Option.  This Option may not be exercised more than ten (10)
          --------------
years from the date of grant of this Option, and may be exercised during such
period only in accordance with the Plan and the terms of this Option.

     8.   Taxation Upon Exercise of Option.  Optionee understands that, upon
          --------------------------------
exercise of this Option, he or she will recognize income for tax purposes in an
amount equal to the excess of the then Fair Market Value of the Shares purchased
over the exercise price paid for such Shares.  Since the Optionee is subject to
Section 16(b) of the Securities Exchange Act of 1934, as amended, under certain
limited circumstances the measurement and timing of such income (and the
commencement of any capital gain holding period) may be deferred, and the
Optionee is advised to contact a tax advisor concerning the application of
Section 83 in general and the availability a Section 83(b) election in
particular in connection with the exercise of the Option.

     DATE OF GRANT:  ______________

                                        MICROTUNE, INC.,
                                        A Delaware corporation


                                        By:______________________________

     Optionee acknowledges receipt of a copy of the Plan, a copy of which is
attached hereto, and represents that he or she is familiar with the terms and
provisions thereof, and hereby accepts this Option subject to all of the terms
and provisions thereof. Optionee hereby agrees to accept as binding, conclusive
and final all decisions or interpretations of the Board upon any questions
arising under the Plan.

     Dated: _________________

                                        ______________________________
                                        Optionee
<PAGE>

                                                               SUBSEQUENT OPTION
                                MICROTUNE, INC.

                           DIRECTOR OPTION AGREEMENT

     Microtune, Inc., (the "Company"), has granted to ___________________ (the
"Optionee") an option to purchase a total of 5,000 shares of the Company's
Common Stock (the "Optioned Stock"), at the price determined as provided herein,
and in all respects subject to the terms, definitions and provisions of the
Company's 2000 Director Option Plan (the "Plan") adopted by the Company which is
incorporated herein by reference.  The terms defined in the Plan shall have the
same defined meanings herein.

     1.   Nature of the Option.  This Option is a nonstatutory option and is not
          --------------------
intended to qualify for any special tax benefits to the Optionee.

     2.   Exercise Price.  The exercise price is $_______ for each share of
          --------------
Common Stock.

     3.   Exercise of Option.  This Option shall be exercisable during its term
          ------------------
in accordance with the provisions of Section 8 of the Plan as follows:

             (i)    Right to Exercise.
                    -----------------

                    (a) This Option shall become exercisable with respect to 50%
of the Optioned Stock on the anniversary of its date of grant; provided,
however, that in no event shall any Option be exercisable prior to the date the
stockholders of the Company approve the Plan.

                    (b) This Option may not be exercised for a fraction of a
share.

                    (c) In the event of Optionee's death, disability or other
termination of service as a Director, the exercisability of the Option is
governed by Section 8 of the Plan.

             (ii)   Method of Exercise.  This Option shall be exercisable by
                    ------------------
written notice which shall state the election to exercise the Option and the
number of Shares in respect of which the Option is being exercised. Such written
notice, in the form attached hereto as Exhibit A, shall be signed by the
                                       ---------
Optionee and shall be delivered in person or by certified mail to the Secretary
of the Company. The written notice shall be accompanied by payment of the
exercise price.

     4.   Method of Payment.  Payment of the exercise price shall be by any of
          -----------------
the following, or a combination thereof, at the election of the Optionee:

             (i)    cash;

             (ii)   check; or

             (iii)  surrender of other Shares, provided Shares acquired from the
Company, (x) have been owned by the Optionee for more than six (6) months on the
date of surrender, and (y) have a Fair Market Value on the date of surrender
equal to the aggregate exercise price of the Shares as to which said Option
shall be exercised; or

             (iv)   consideration received by the Company under a cashless
exercise program implemented by the Company in connection with the Plan.

     5.   Restrictions on Exercise.  This Option may not be exercised if the
          ------------------------
issuance of such Shares upon such exercise or the method of payment of
consideration for such shares would
<PAGE>

constitute a violation of any applicable federal or state securities or other
law or regulations, or if such issuance would not comply with the requirements
of any stock exchange upon which the Shares may then be listed. As a condition
to the exercise of this Option, the Company may require Optionee to make any
representation and warranty to the Company as may be required by any applicable
law or regulation.

     6.   Limited Transferability of Option.  This Option may not be sold,
          ---------------------------------
pledged, assigned, hypothecated, transferred or disposed of in any manner other
than by will or by the laws of descent or distribution and may be exercised,
during the lifetime of the Optionee, only by the Optionee; provided, however,
that the Optionee may transfer, without payment of consideration, the Option to
any member of the Optionee's immediate family or to a trust or partnership whose
beneficiaries are members of the Optionee's immediate family by completing an
Election to Transfer Stock Option Form to be obtained from the Company. In such
case, the Option shall be exercisable only by such transferee. Following
transfer, this Option shall continue to be subject to the same terms and
conditions as were applicable immediately prior to the transfer. For purposes of
this Section, an Optionee's "immediate family" shall mean the Optionee's spouse,
children and grandchildren.".

     7.   Term of Option.  This Option may not be exercised more than ten (10)
          --------------
years from the date of grant of this Option, and may be exercised during such
period only in accordance with the Plan and the terms of this Option.

     8. Taxation Upon Exercise of Option.  Optionee understands that, upon
        --------------------------------
exercise of this Option, he or she will recognize income for tax purposes in an
amount equal to the excess of the then Fair Market Value of the Shares purchased
over the exercise price paid for such Shares. Since the Optionee is subject to
Section 16(b) of the Securities Exchange Act of 1934, as amended, under certain
limited circumstances the measurement and timing of such income (and the
commencement of any capital gain holding period) may be deferred, and the
Optionee is advised to contact a tax advisor concerning the application of
Section 83 in general and the availability a Section 83(b) election in
particular in connection with the exercise of the Option. Upon a resale of such
Shares by the Optionee, any difference between the sale price and the Fair
Market Value of the Shares on the date of exercise of the Option, to the extent
not included in income as described above, will be treated as capital gain or
loss.
<PAGE>

     DATE OF GRANT:  ______________

                                              MICROTUNE, INC.,

                                              A Delaware corporation

                                              By:________________________

     Optionee acknowledges receipt of a copy of the Plan, a copy of which is
attached hereto, and represents that he or she is familiar with the terms and
provisions thereof, and hereby accepts this Option subject to all of the terms
and provisions thereof. Optionee hereby agrees to accept as binding, conclusive
and final all decisions or interpretations of the Board upon any questions
arising under the Plan.

     Dated: _________________

                                    ______________________________
                                    Optionee