<PAGE>   1
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  ------------

                                   FORM 10-Q

                                  ------------

(Mark One)

   X     QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
  ---    EXCHANGE ACT OF 1934


         For the quarterly period ended June 30, 1999 . . . . . . . . . . . .

                                       OR

         TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
   ---   EXCHANGE ACT OF 1934

          For the transition period from                  to
                                         ----------------    -----------------

                              COMMISSION FILE NO.
                                    0-14105

                                  ------------

                        MURRAY INCOME PROPERTIES I, LTD.
             (Exact Name of Registrant as Specified in its Charter)


            TEXAS                                              75-1946214
(State or Other Jurisdiction of                             (I.R.S. Employer
 Incorporation or Organization)                            Identification No.)

 5550 LBJ FREEWAY, SUITE 675, DALLAS, TEXAS                        75240
  (Address of principal executive offices)                       (Zip Code)

                                 (972) 991-9090
              (Registrant's Telephone Number, including Area Code)

     Indicate by check mark whether the registrant (1) has filed all reports
required to be filed by Section 13 or 15(d) of the Securities Exchange Act of
1934 during the preceding 12 months (or for such shorter period that the
registrant was required to file such reports), and (2) has been subject to such
filing requirements for the past 90 days.

                                      Yes  X         No
                                          ---            ---

<PAGE>   2
PART I        FINANCIAL INFORMATION

ITEM 1.       FINANCIAL STATEMENTS

MURRAY INCOME PROPERTIES I, LTD.
(A LIMITED PARTNERSHIP)
AND CONSOLIDATED JOINT VENTURE
CONSOLIDATED BALANCE SHEETS

<TABLE>
<CAPTION>
                                                     June 30,     December 31,
                                                       1999           1998
                                                    -----------   ------------
                                                    (unaudited)
<S>                                                <C>            <C>
ASSETS

Investment properties, at cost:
   Land                                             $ 6,232,801   $ 6,232,801
   Buildings and improvements                        20,403,559    20,389,399
                                                    -----------   -----------
                                                     26,636,360    26,622,200
   Less accumulated depreciation                     11,032,584    10,618,469
                                                    -----------   -----------
     Net investment properties                       15,603,776    16,003,731
Cash and cash equivalents                             1,814,897     1,808,765
Accounts receivable, net of
   allowance of $786 and $8,676, in 1999
   and 1998, respectively                               703,087       641,807
Other assets, at cost, net of accumulated
   amortization of $601,413 and $587,283
   in 1999 and 1998, respectively                       226,745       206,930
                                                    -----------   -----------
                                                    $18,348,505   $18,661,233
                                                    ===========   ===========

LIABILITIES AND PARTNERS' EQUITY

Accounts payable                                    $    33,600   $    13,167
Accrued property taxes                                  134,499       203,814
Security deposits                                       184,279       168,745
                                                    -----------   -----------
          Total liabilities                             352,378       385,726
                                                    -----------   -----------

Minority interest in joint venture                    1,287,892     1,321,510
                                                    -----------   -----------

Partners' equity:
   General Partners:
     Capital contributions                                1,000         1,000
     Cumulative net earnings                            252,289       239,922
     Cumulative cash distributions                     (418,680)     (401,398)
                                                    -----------   -----------
                                                       (165,391)     (160,476)
                                                    -----------   -----------

   Limited Partners (28,227 Interests):
     Capital contributions, net of offering costs    24,570,092    24,570,092
     Cumulative net earnings                         12,818,902    12,212,939
     Cumulative cash distributions                  (20,515,368)  (19,668,558)
                                                    -----------   -----------
                                                     16,873,626    17,114,473
                                                    -----------   -----------
          Total partners' equity                     16,708,235    16,953,997
                                                    -----------   -----------
                                                    $18,348,505   $18,661,233
                                                    ===========   ===========
</TABLE>

See accompanying notes to consolidated financial statements.


                                       2
<PAGE>   3
MURRAY INCOME PROPERTIES I, LTD.
(A LIMITED PARTNERSHIP)
AND CONSOLIDATED JOINT VENTURE
CONSOLIDATED STATEMENTS OF EARNINGS
(UNAUDITED)

<TABLE>
<CAPTION>
                                                Three Months Ended        Six Months Ended
                                                    June 30,                  June 30,
                                           ------------------------   -----------------------
                                               1999         1998         1999         1998
                                           -----------   ----------   ----------   ----------
<S>                                        <C>           <C>          <C>          <C>
INCOME:
   Rental                                   $  825,754   $  775,385   $1,657,359   $1,585,227
   Interest                                     22,168       21,585       43,510       43,891
                                            ----------   ----------   ----------   ----------
                                               847,922      796,970    1,700,869    1,629,118
                                            ----------   ----------   ----------   ----------

EXPENSES:
   Depreciation                                207,402      210,374      414,115      421,093
   Property operating                          210,392      228,892      413,343      430,571
   General and administrative                   75,606       72,790      178,034      177,861
   Bad debts (recoveries), net                    (113)        (346)        (185)      (1,209)
                                            ----------   ----------   ----------   ----------
                                               493,287      511,710    1,005,307    1,028,316
                                            ----------   ----------   ----------   ----------

     Earnings before minority interest         354,635      285,260      695,562      600,802

     Minority interest in joint venture's
     earnings                                   40,370       30,953       77,232       68,574
                                            ----------   ----------   ----------   ----------

     Net earnings                           $  314,265   $  254,307   $  618,330   $  532,228
                                            ==========   ==========   ==========   ==========

Basic earnings per limited partnership
interest                                    $    10.91   $     8.83   $    21.47   $    18.48
                                            ==========   ==========   ==========   ==========
</TABLE>

See accompanying notes to consolidated financial statements.


                                       3
<PAGE>   4
MURRAY INCOME PROPERTIES I, LTD.
(A LIMITED PARTNERSHIP)
AND CONSOLIDATED JOINT VENTURE
CONSOLIDATED STATEMENTS OF CHANGES IN PARTNERS' EQUITY
(UNAUDITED)

<TABLE>
<CAPTION>
                                          General     Limited
                                         Partners     Partners      Total
                                        ----------  -----------  -----------
<S>                                     <C>        <C>           <C>
SIX MONTHS ENDED JUNE 30, 1998:

   Balance at December 31, 1997         $ (148,228) $17,714,604  $17,566,376
   Net earnings                             10,645      521,583      532,228
   Cash distributions                      (17,282)    (846,811)    (864,093)
                                        ----------  -----------  -----------
   Balance at June 30, 1998             $ (154,865) $17,389,376  $17,234,511
                                        ==========  ===========  ===========


SIX MONTHS ENDED JUNE 30, 1999:

   Balance at December 31, 1998         $ (160,476) $17,114,473  $16,953,997
   Net earnings                             12,367      605,963      618,330
   Cash distributions                      (17,282)    (846,810)    (864,092)
                                        ----------  -----------  -----------
   Balance at June 30, 1999             $ (165,391) $16,873,626  $16,708,235
                                        ==========  ===========  ===========
</TABLE>

See accompanying notes to consolidated financial statements.


                                       4
<PAGE>   5
MURRAY INCOME PROPERTIES I, LTD.
(A LIMITED PARTNERSHIP)
AND CONSOLIDATED JOINT VENTURE
CONSOLIDATED STATEMENTS OF CASH FLOWS
(UNAUDITED)

<TABLE>
<CAPTION>
                                                                Six Months Ended
                                                                     June 30,
                                                           ---------------------------
                                                              1999            1998
                                                           -----------    ------------
<S>                                                        <C>           <C>
Cash flows from operating activities:
     Net earnings                                          $   618,330    $   532,228
     Adjustments to reconcile net earnings to net
       cash provided by operating activities:
         Bad debts (recoveries), net                              (185)        (1,209)
         Depreciation                                          414,115        421,093
         Amortization of other assets                           33,962         35,515
         Minority interest in joint venture's earnings          77,232         68,574
         Change in assets and liabilities:
           Accounts and notes receivable                       (61,095)       (26,234)
           Other assets                                        (53,777)       (45,065)
           Accounts payable                                     20,433          2,217
           Accrued property taxes and security deposits        (53,781)       (60,982)
                                                           -----------    -----------
              Net cash provided by operating activities        995,234        926,137
                                                           -----------    -----------

Cash flows from investing activities:
     Additions to investment properties                        (14,160)       (58,582)
                                                           -----------    -----------

Cash flows from financing activities:
     Distributions to minority interest in joint venture      (110,850)      (103,650)
     Cash distributions                                       (864,092)      (864,093)
                                                           -----------    -----------
              Net cash used in financing activities           (974,942)      (967,743)
                                                           -----------    -----------

Net increase (decrease) in cash and cash equivalents             6,132       (100,188)
Cash and cash equivalents at beginning of period             1,808,765      1,620,246
                                                           -----------    -----------
Cash and cash equivalents at end of period                 $ 1,814,897    $ 1,520,058
                                                           ===========    ===========
</TABLE>


See accompanying notes to consolidated financial statements.


                                       5
<PAGE>   6

MURRAY INCOME PROPERTIES I, LTD.
(A LIMITED PARTNERSHIP)
AND CONSOLIDATED JOINT VENTURE
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
JUNE 30, 1999 AND 1998

1.   BASIS OF ACCOUNTING

     The consolidated financial statements include the accounts of the
Partnership and Tower Place Joint Venture (85% owned by the Partnership). All
significant intercompany balances and transactions have been eliminated in
consolidation.

     The preparation of financial statements in conformity with generally
accepted accounting principles requires management to make estimates and
assumptions that affect the reported amounts of assets and liabilities and
disclosure of contingent assets and liabilities at the date of the financial
statements and the reported amounts of income and expenses during the reporting
period. Actual results could differ from those estimates.

     Rental income is recognized as earned under the leases. Accordingly, the
Partnership accrues rental income for the full period of occupancy using the
straight line method over the related terms. At June 30, 1999 and December 31,
1998, $425,315 and $457,406, respectively, of accounts receivable related to
such accruals.

     Other assets consist primarily of deferred leasing costs which are
amortized using the straight line method over the lives of the related leases.

     Depreciation is provided over the estimated useful lives of the respective
assets using the straight line method. The estimated useful lives of the
buildings and improvements range from three to twenty-five years.

     The Partnership periodically reevaluates the propriety of the carrying
amounts of investment properties to determine whether current events and
circumstances warrant an adjustment to such carrying amounts. Such evaluations
are performed utilizing annual appraisals performed by independent appraisers
as well as internally developed estimates of expected undiscounted future cash
flows. In the event the carrying value of an individual property exceeds
expected future undiscounted cash flows, the property is written down to the
most recently appraised value. Since inception of the Partnership, none of the
Partnership's properties have required write downs.

     No provision for income taxes has been made, as the liabilities for such
taxes are those of the individual Partners rather than the Partnership. The
Partnership files its tax return on the accrual basis used for Federal income
tax purposes.

     Basic earnings and cash distributions per limited partnership interest are
based upon the limited partnership interests outstanding at period-end and the
net earnings and cash distributions allocated to the Limited Partners in
accordance with the Partnership Agreement, as amended.

     For purposes of reporting cash flows, the Partnership considers all
certificates of deposit and highly liquid debt instruments with original
maturities of three months or less to be cash equivalents.

     The following information relates to estimated fair values of the
Partnership's financial instruments as of June 30, 1999 and December 31, 1998.
For cash and cash equivalents, accounts receivable, accounts payable, accrued
property taxes payable, and security deposits, the carrying amounts approximate
fair value because of the short maturity of these instruments.


                                       6
<PAGE>   7
     Effective January 1, 1999, the Partnership implemented the provisions of
Statement of Position (SOP) 98-5, Reporting on the Costs of Start-Up
Activities. SOP 98-5 requires that the costs of start-up activities, including
organizational costs, be expensed as incurred. SOP 98-5 required the initial
application to be recorded as of the beginning of the fiscal year in which the
SOP is first adopted. Due to the nature of capitalized costs of the
Partnership, there was no effect of implementation of this new pronouncement on
the financial condition or results of operations of the Partnership.

2.   PARTNERSHIP AGREEMENT

     Pursuant to the terms of the Partnership Agreement, net profits or losses
of the Partnership and cash distributions are generally allocated 98% to the
Limited Partners and 2% to the General Partners. Cash distributions from the
sale or refinancing of a property are allocated as follows:

(a)      First, all Cash Distributions from Sales or Refinancings shall be
         allocated 99% to the Limited Partners and 1% to the Non-corporate
         General Partner until the Limited Partners have been returned their
         Original Invested Capital from Cash Distributions from Sales or
         Refinancings, plus their Preferred Return from Cash Distributions from
         Operations or Cash Distributions from Sales or Refinancings, or both.

(b)      Next, all Cash Distributions from Sales or Refinancings shall be
         allocated 1% to the Non-corporate General Partner and 99% to the
         Limited Partners and the General Partners. Such 99% will be allocated
         (i) first to the Corporate General Partner in an amount equal to any
         unpaid Cash Distributions from Operations subordinated to the Limited
         Partners' 7% non-cumulative annual return and (ii) thereafter, 80% to
         the Limited Partners and 20% to the General Partners.

         Cash Distributions from Sales or Refinancings (other than the 1% of
         Cash Distributions from Sales or Refinancings payable to the
         Non-corporate General Partner) payable to the General Partners shall
         be allocated 62 1/2% to the Non-corporate General Partner and 37 1/2%
         to the Corporate General Partner.

3.   INVESTMENT PROPERTIES

     The Partnership owns and operates Mountain View Plaza, a shopping center
located in Scottsdale, Arizona, and Castle Oaks Village, a shopping center
located in Castle Hills (San Antonio), Texas. In addition, the Partnership owns
an 85% interest in Tower Place Joint Venture, a joint venture which owns Tower
Place Festival Shopping Center located in Pineville (Charlotte), North
Carolina. The remaining 15% interest in the joint venture is owned by Murray
Income Properties II, Ltd. ("MIP II"), an affiliated real estate limited
partnership. The Tower Place Joint Venture Agreement provides that the
Partnership will share profits, losses, and cash distributions according to the
Partnership's 85% ownership interest in the joint venture.

     The Partnership has adopted Statement of Financial Accounting Standards
No. 131, "Disclosures about Segments of an Enterprise and Related Information",
which established standards for the way that public business enterprises report
information about operating segments in audited financial statements, as well
as related disclosures about products and services, geographic areas, and major
customers. The Partnership defines each of its shopping centers as operating
segments; however, management has determined that all of its properties have
similar economic characteristics and also meet the other criteria which permit
the properties to be aggregated into one reportable segment. Management of the
Partnership makes decisions about resource allocation and performance
assessment based on the same financial information presented throughout these
consolidated financial statements.

4.   OTHER

                                       7
<PAGE>   8
     Information furnished in this interim report reflects all adjustments
consisting of normal recurring adjustments, which, in the opinion of
management, are necessary to reflect a fair presentation of the results for the
periods presented.

     The financial information included in this interim report as of June 30,
1999, and for the three and six months ended June 30, 1999 and 1998, has been
prepared by management without audit by independent public accountants. The
Partnership's 1998 annual report contains audited consolidated financial
statements including the notes to the consolidated financial statements and
should be read in conjunction with the financial information contained in this
interim report.


                                       8
<PAGE>   9
ITEM 2.  MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND
         RESULTS OF OPERATIONS.

Liquidity and Capital Resources

     As of June 30, 1999, the Partnership had cash and cash equivalents of
$1,814,897. Such amounts represent cash generated from operations and working
capital reserves.

     Rental income from leases with escalating rental rates is accrued using
the straight line method over the related lease terms. At June 30, 1999 and
December 31, 1998, $425,315 and $457,406, respectively, of accounts receivable
related to such accruals. Accounts receivable also consist of tenant
receivables, receivables for rent collected (but not yet remitted to the
Partnership by the property management companies), and interest receivable on
short-term investments. The increase in accounts receivable of $61,095 from
December 31, 1998 to June 30, 1999 is primarily due to an increase in
receivables for rent collected (but not yet remitted to the Partnership by the
property management companies) at each of the Partnership's properties. As of
June 30, 1999 and December 31, 1998, the Partnership had allowances of $786 and
$8,676 respectively, for uncollectible accounts receivable.

     The decrease of $69,315 in accrued property taxes from December 31, 1998
to June 30, 1999 is primarily due to the payment of 1998 property taxes for the
Partnership's properties.

     During the three months ended June 30, 1999, the Partnership made Cash
Distributions from Operations totaling $432,046, (which was reduced by $25,384
related to 1998 North Carolina state income taxes paid on behalf of the
partners in connection with the operation of Tower Place Joint Venture) related
to the three month period ended March 31, 1999. Subsequent to June 30, 1999,
the Partnership made Cash Distributions from Operations of $432,046 relating to
the three months ended June 30, 1999. The distributed funds were derived from
the net cash flow generated from operations of the Partnership's properties and
from interest earned, net of administrative expenses, on funds invested in
short-term money market instruments.

     Future liquidity is currently expected to result from cash generated from
the operations of the Partnership's properties (which could be affected
negatively in the event of weakened occupancies, and/or rental rates), interest
earned on funds invested in short-term money market instruments and ultimately
through the sale of the Partnership's properties.


                                       9
<PAGE>   10

Results of Operations

     Rental income increased $72,132 for the six months ended June 30, 1999 as
compared to the same period in 1998. The following information details the
rental income generated, bad debt expense incurred, and average occupancy for
the periods shown for each of the Partnership's properties.

<TABLE>
<CAPTION>
                                           Three Months Ended          Six Months Ended
                                                June 30,                   June 30,
                                       ------------------------   -------------------------
                                          1999          1998         1999           1998
                                       ----------    ----------   ----------     ----------
<S>                                   <C>           <C>           <C>           <C>
Mountain View Plaza Shopping Center

   Rental income                       $ 237,056     $ 236,603     $ 478,399     $ 468,722
   Bad debt expense (recovery)              (113)          510          (185)          510
   Average occupancy                          98%           98%           97%           98%

Castle Oaks Village Shopping Center

   Rental income                       $ 120,113     $ 106,999     $ 252,588     $ 217,797
   Bad debt expense (recovery)                -0-           -0-           -0-       (1,474)
   Average occupancy                          92%           92%           94%           92%

Tower Place Festival Shopping Center

   Rental income                       $ 468,585     $ 431,783     $ 926,372     $ 898,708
   Bad debt expense (recovery)                -0-         (856)           -0-         (245)
   Average occupancy                          99%           98%           98%           98%
</TABLE>

     Rental income at Mountain View Plaza in Scottsdale, Arizona increased
$9,677 for the six months ended June 30, 1999 as compared to the same period in
1998 due to higher tenant reimbursements for real estate taxes and insurance
costs.

     Occupancy at Mountain View averaged 98% during the second quarter, a one
percent increase over the previous quarter. In May management was successful in
rezoning the property to a classification which expands the permitted uses at
the shopping center. The General Partners are hopeful that this will help in
leasing the space vacated by Wild Oats Markets, and management is aggressively
pursuing a replacement tenant. In June a tenant who occupies 1,100 square feet
extended the term of its lease for two years and a tenant who occupies 928
square feet renewed its lease for three years.

     Rental income at Castle Oaks Village in Castle Hills (San Antonio), Texas
increased $34,791 for the six months ended June 30, 1999 as compared to the
same period in 1998 primarily due to an increase in occupancy and rental rates,
and higher tenant reimbursements for common area maintenance costs, real estate
taxes, and insurance costs.

     Occupancy at Castle Oaks averaged 92% for the second quarter, a three
percent decrease from the previous quarter. One tenant who occupied 2,990
square feet vacated upon expiration of its lease.

     Rental income at Tower Place Festival in Pineville (Charlotte), North
Carolina increased $27,664 for the six months ended June 30, 1999 as compared
to the same period in 1998 primarily due to an increase in rental rates offset
by a decrease in tenant reimbursements for common area maintenance costs and
insurance costs. The increase is also due to the receipt of a lease


                                       10
<PAGE>   11
termination fee from a tenant who elected, pursuant to its lease, to terminate
its lease effective October 5, 1999.

     Occupancy at Tower Place averaged 99% for the second quarter, a two
percent increase over the previous quarter. A tenant who signed a lease for
1,600 square feet during the first quarter took occupancy in April. One tenant
who occupies 2,800 square feet renewed its lease for three years. Repairs to
several underground water lines were completed behind one of the shopping
center's buildings.

     Depreciation is provided over the estimated useful lives of the respective
assets using the straight line method. The estimated useful lives of the
buildings and improvements range from three to twenty-five years.

     Property operating expenses consist primarily of real estate taxes,
property management fees, insurance costs, utility costs, repair and
maintenance costs, leasing and promotion costs, and amortization of deferred
leasing costs. Property operating expenses decreased $17,228 for the six months
ended June 30, 1999 as compared to the same period in 1998 primarily because of
lower repair and maintenance costs and security costs at Tower Place offset by
higher legal fees at Mountain View. Mountain View's total operating expenses
increased primarily due to increased legal and professional fees incurred in
the rezoning of the property and an increase in real estate taxes. Castle Oaks'
total operating expenses were flat with increases in real estate taxes and
property management fees offset by decreases in landscaping costs. Tower
Place's total operating expenses decreased due to lower repair and maintenance
costs, security costs and real estate taxes.

     General and administrative expenses incurred are related to legal and
accounting expenses, rent, investor services costs, salaries and benefits and
various other costs required for the administration of the Partnership,
including reimbursements of shared direct operating costs to Murray Income
Properties II, Ltd. General and administrative expenses were flat for the six
months ended June 30, 1999 as compared to the same period in 1998 with
decreases in accounting and legal costs and telephone expenses offset by
increases in salaries and benefits.

     The Partnership recognized that the arrival of the Year 2000 poses a
unique challenge to the ability of an entity's information technology system
and non-information technology systems to recognize the date change from
December 31, 1999 to January 1, 2000. As of June 30, 1999, the Partnership is
nearing completion of its assessment and has made certain changes to provide
for continued functionality of its systems. An assessment of the readiness of
the Partnership's external entities, such as vendors, customers, payment
systems and others is still ongoing. Due to the nature and extent of the
Partnership's operations that are affected by Year 2000 issues, the Partnership
does not believe that Year 2000 issues will have a material adverse effect on
the business operation or the financial performance of the Partnership. There
can be no assurance, however, that Year 2000 issues will not adversely affect
the Partnership or its business. The Partnership believes that the cost to make
appropriate changes of its internal and external systems will not be
significant and that such costs will be funded completely through operations.

     Words or phrases when used in the Form 10-Q or other filings with the
Securities and Exchange Commission, such as "does not believe" and "believes"
or similar expressions, are intended to identify "forward-looking statements"
within the meaning of the Private Securities Litigation Reform Act of 1995.


                                      11
<PAGE>   12

ITEM 3.  QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISKS

     The Partnership's financial instruments consist of cash and cash
equivalents, accounts receivable, accounts payable, accrued property taxes
payable, and security deposits. The carrying amount of these instruments
approximates fair value due to the short-term nature of these instruments.
Therefore, the Partnership believes it is relatively unaffected by interest
rate changes or other market risks.


                                       12
<PAGE>   13
PART II.  OTHER INFORMATION

ITEM 6.  EXHIBITS AND REPORTS ON FORM 8-K

     (a)      Exhibits:

              3a     Agreement of Limited Partnership of Murray Income
                     Properties Ltd. 84. Reference is made to Exhibit A of the
                     Prospectus dated May 31, 1984 contained in Amendment No. 2
                     to Partnership's Form S-11 Registration Statement. (File
                     No. 2-90016)

              3b     Amended and Restated Certificate and Agreement of Limited
                     Partnership dated as of May 23, 1984. Reference is made to
                     Exhibit 3b to the 1989 Annual Report on Form 10-K filed
                     with the Securities and Exchange Commission on March 31,
                     1990. (File No. 0-14105)

              3c     Amended and Restated Certificate and Agreement of Limited
                     Partnership dated as of June 25, 1984. Reference is made
                     to Exhibit 3c to the 1989 Annual Report on Form 10-K filed
                     with the Securities and Exchange Commission on March 31,
                     1990. (File No. 0-14105)

              3d     Amended and Restated Certificate and Agreement of Limited
                     Partnership dated as of November 27, 1984. Reference is
                     made to Exhibit 3d to the 1989 Annual Report on Form 10-K
                     filed with the Securities and Exchange Commission on March
                     31, 1990. (File No. 0-14105)

              3e     Amended and Restated Certificate and Agreement of Limited
                     Partnership dated as of April 1, 1985. Reference is made
                     to Exhibit 3e to the 1989 Annual Report on Form 10-K filed
                     with the Securities and Exchange Commission on March 31,
                     1990. (File No. 0-14105)

              3f     Amended and Restated Certificate and Agreement of Limited
                     Partnership dated as of November 15, 1989. Reference is
                     made to Exhibit 3f to the 1989 Annual Report on Form 10-K
                     filed with the Securities and Exchange Commission on March
                     31, 1990. (File No. 0-14105)

              3g     Amended and Restated Certificate and Agreement of Limited
                     Partnership dated as of January 10, 1990. Reference is
                     made to Exhibit 3g to the 1989 Annual Report on Form 10-K
                     filed with the Securities and Exchange Commission on March
                     31, 1990. (File No. 0-14105)

              27      Financial Data Schedule.  Filed herewith.

              99a    Glossary, as contained in the Prospectus dated May 31,
                     1984 filed as part of Amendment No. 2 to Registrant's Form
                     S-11 Registration Statement. (File No. 2-90016) Filed
                     herewith.

              99b    Article XIII of the Agreement of Limited Partnership as
                     contained in the Prospectus dated May 31, 1984 filed as
                     part of the Amendment No. 2 to Registrant's Form S-11
                     Registration Statement. (File No. 2-90016) Filed herewith.

              99c    Amendment number nine to the Agreement of Limited
                     Partnership contained in the Proxy Statement dated October
                     11, 1989. Filed herewith.


                                       13
<PAGE>   14

              99d    Management Compensation as contained in the Prospectus
                     (Pages 10 through 17) dated May 31, 1984 filed as part of
                     Amendment No. 2 to Registrant's Form S-11 Registration
                     Statement. (File No. 2-90016)  Filed herewith.

     (b)      Reports on Form 8-K filed during the quarter ended June 30, 1999:

              None


                                      14
<PAGE>   15
                                   SIGNATURES

     Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized.

                                   MURRAY INCOME PROPERTIES I, LTD.

                                   By: Murray Realty Investors VIII, Inc.
                                       A General Partner



Date: August 6, 1999                   By: /s/ Mitchell Armstrong
                                           -----------------------------------
                                           Mitchell Armstrong
                                           President
                                           Chief Financial Officer


                                      15
<PAGE>   16
                               INDEX TO EXHIBITS

<TABLE>
<CAPTION>
Exhibit
Number                        Description
-------                       -----------
<S>            <C>
   3a           Agreement of Limited Partnership of Murray Income Properties
                Ltd. 84. Reference is made to Exhibit A of the Prospectus dated
                May 31, 1984 contained in Amendment No. 2 to Partnership's Form
                S-11 Registration Statement. (File No. 2-90016)

   3b           Amended and Restated Certificate and Agreement of Limited
                Partnership dated as of May 23, 1984. Reference is made to
                Exhibit 3b to the 1989 Annual Report on Form 10-K filed with
                the Securities and Exchange Commission on March 31, 1990. (File
                No. 0-14105)

   3c           Amended and Restated Certificate and Agreement of Limited
                Partnership dated as of June 25, 1984. Reference is made to
                Exhibit 3c to the 1989 Annual Report on Form 10-K filed with
                the Securities and Exchange Commission on March 31, 1990. (File
                No. 0-14105)

   3d           Amended and Restated Certificate and Agreement of Limited
                Partnership dated as of November 27, 1984. Reference is made to
                Exhibit 3d to the 1989 Annual Report on Form 10-K filed with
                the Securities and Exchange Commission on March 31, 1990. (File
                No. 0-14105)

   3e           Amended and Restated Certificate and Agreement of Limited
                Partnership dated as of April 1, 1985. Reference is made to
                Exhibit 3e to the 1989 Annual Report on Form 10-K filed with
                the Securities and Exchange Commission on March 31, 1990. (File
                No. 0-14105)

   3f           Amended and Restated Certificate and Agreement of Limited
                Partnership dated as of November 15, 1989. Reference is made to
                Exhibit 3f to the 1989 Annual Report on Form 10-K filed with
                the Securities and Exchange Commission on March 31, 1990. (File
                No. 0-14105)

   3g           Amended and Restated Certificate and Agreement of Limited
                Partnership dated as of January 10, 1990. Reference is made to
                Exhibit 3g to the 1989 Annual Report on Form 10-K filed with
                the Securities and Exchange Commission on March 31, 1990. (File
                No. 0-14105)

   27           Financial Data Schedule.  Filed herewith.

   99a          Glossary, as contained in the Prospectus dated May 31, 1984
                filed as part of Amendment No. 2 to Registrant's Form S-11
                Registration Statement. (File No. 2-90016) Filed herewith.

   99b          Article XIII of the Agreement of Limited Partnership as
                contained in the Prospectus dated May 31, 1984 filed as part of
                the Amendment No. 2 to Registrant's Form S-11 Registration
                Statement. (File No. 2-90016) Filed herewith.

   99c          Amendment number nine to the Agreement of Limited Partnership
                contained in the Proxy Statement dated October 11, 1989. Filed
                herewith.
</TABLE>


                                      16
<PAGE>   17

<TABLE>
  <S>           <C>
   99d          Management Compensation as contained in the Prospectus (Pages
                10 through 17) dated May 31, 1984 filed as part of Amendment
                No. 2 to Registrant's Form S-11 Registration Statement. (File
                No. 2-90016) Filed herewith.
</TABLE>


                                      17