<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 March 31, 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>

                                                  March 31,        December 31,
                                                     1999              1998    
                                                ------------       ------------
                                                 (unaudited)
ASSETS
<S>                                             <C>                <C>

Investment properties, at cost
   Land                                         $  6,232,801       $  6,232,801
   Buildings and improvements                     20,399,905         20,389,399
                                                ------------       ------------
                                                  26,632,706         26,622,200
   Less accumulated depreciation                  10,825,182         10,618,469
                                                ------------       ------------
     Net investment properties                    15,807,524         16,003,731
Cash and cash equivalents                          1,693,329          1,808,765
Accounts receivable, net of allowances
   of $6,905 and $8,676, in 1999 and 1998,
   respectively                                      754,509            641,807
Other assets, at cost, net of accumulated
   amortization of $603,966 and $587,283
   in 1999 and 1998, respectively                    188,893            206,930
                                                ------------        -----------
                                                $ 18,444,255       $ 18,661,233
                                                ============       ============


LIABILITIES AND PARTNERS' EQUITY

Accounts payable                                $     25,330       $     13,167
Accrued property taxes                               119,638            203,814
Security deposits                                    169,949            168,745
                                                ------------       ------------
          Total liabilities                          314,917            385,726
                                                ------------       ------------

Minority interest in joint venture                 1,303,322          1,321,510
                                                ------------       ------------

Partners' equity:
   General Partners:
     Capital contributions                             1,000              1,000
     Cumulative net earnings                         246,003            239,922
     Cumulative cash distributions                  (410,039)          (401,398)
                                                ------------       ------------
                                                    (163,036)          (160,476)
                                                ------------       ------------

   Limited Partners (28,227 Interests):
     Capital contributions, net of offering
     costs                                        24,570,092         24,570,092
     Cumulative net earnings                      12,510,923         12,212,939
     Cumulative cash distributions               (20,091,963)       (19,668,558)
                                                ------------       ------------
                                                  16,989,052         17,114,473
                                                ------------       ------------
          Total partners' equity                  16,826,016         16,953,997
                                                ------------       ------------
                                                $ 18,444,255         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

<TABLE>
<CAPTION>

                                                         Three Months Ended
                                                               March 31,        
                                                     ---------------------------
                                                         1999            1998  
                                                     -----------      ---------
<S>                                                  <C>             <C>
INCOME:
   Rental                                            $  831,605       $ 809,842
   Interest                                              21,342          22,306
                                                     -----------      ---------
                                                        852,947         832,148
                                                     -----------      ---------
EXPENSES:
   Depreciation                                         206,713         210,719
   Property operating                                   202,951         201,679
   General and administrative                           102,428         105,071
   Bad debts (recoveries), net                              (72)           (863)
                                                     -----------      ---------
                                                        512,020         516,606
                                                     -----------      ---------

          Earnings before minority interest             340,927         315,542

Minority interest in joint venture's earnings            36,862          37,621
                                                     -----------      ----------
          Net earnings                               $  304,065       $ 277,921
                                                     ===========      ==========

Basic earnings per limited partnership interest          $10.56          $ 9.65
                                                     ===========      ==========
</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

<TABLE>
<CAPTION>

                                              General        Limited
                                             Partners        Partners          Total 
                                            ----------      -----------     -----------

THREE MONTHS ENDED MARCH 31, 1998:

<S>                                         <C>             <C>             <C>
   Balance at December 31, 1997             $ (148,228)     $ 17,714,604    $ 17,566,376
   Net earnings                                  5,558           272,363         277,921
   Cash distributions                           (8,641)         (423,405)       (432,046)
                                            ----------      ------------    ------------
   Balance at March 31, 1998                $ (151,311)     $ 17,563,562    $ 17,412,251
                                            ==========      ============    ============


THREE MONTHS ENDED MARCH 31, 1999:

   Balance at December 31, 1998             $ (160,476)     $ 17,114,473    $ 16,953,997
   Net earnings                                  6,081           297,984         304,065
   Cash distributions                           (8,641)         (423,405)       (432,046)
                                            ----------      ------------    ------------
   Balance at March 31, 1999                $ (163,036)     $ 16,989,052    $ 16,826,016
                                            ==========      ============    ============
</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

<TABLE>
<CAPTION>

                                                          Three Months Ended
                                                                March 31,      
                                                      -------------------------
                                                          1999          1998 
                                                      -----------    ----------
<S>                                                   <C>            <C>
Cash flows from operating activities:
   Net earnings                                       $  304,065     $  277,921
   Adjustments to reconcile net earnings to net
     cash provided by operating activities:
       Bad debts (recoveries), net                           (72)          (863)
       Depreciation                                      206,713        210,719
       Amortization of other assets                       16,683         17,805
       Minority interest in joint venture's earnings      36,862         37,621
       Change in assets and liabilities:
       Accounts and notes receivable                    (112,630)        (4,391)
       Other assets                                        1,354        (10,352)
       Accounts payable                                   12,163         16,928
       Accrued property taxes and security deposits      (82,972)       (88,827)
                                                      ----------      ---------
           Net cash provided by operating activities     382,166        456,561
                                                      ----------      ---------
Cash flows from investing activities -
   Additions to investment properties                    (10,506)       (52,850)
                                                       ----------      ---------

Cash flows from financing activities:
   Distributions to minority interest in joint venture   (55,050)       (48,900)
   Cash distributions                                   (432,046)      (432,046)
                                                      ----------      ---------
           Net cash used in financing activities        (487,096)      (480,946)
                                                      ----------      ---------

Net decrease in cash and cash equivalents               (115,436)       (77,235)
Cash and cash equivalents at beginning of period       1,808,765      1,620,246
                                                      ----------      ---------
Cash and cash equivalents at end of period          $  1,693,329     $1,543,011
                                                      ==========     ==========
</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
MARCH 31, 1999

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 March 31, 1999 and December 31,
1998, $453,938 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 March 31, 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 expenses as incurred. SOP 98-5 requires initial
application to be recorded as of the beginning of the fiscal year in which the
SOP is first adopted and is reported as the cumulative effect of a change in
accounting principle. Due to the nature of capitalized costs of the Partnership,
the effect of implementation of this new pronouncement did not have a
significant effect 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.



                                       7
<PAGE>   8

4.   OTHER

     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 March 31,
1999 and for the three months ended March 31, 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 March 31, 1999, the Partnership had cash and cash equivalents of
$1,693,329. 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 March 31, 1999 and
December 31, 1998, there were $453,938 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 $112,630 from
December 31, 1998 to March 31, 1999 is primarily due to an increase in
receivables for rent collected (but not yet remitted to the Partnership by the
property management companies) and tenant receivables at each of the
Partnership's properties. As of March 31, 1999 and December 31, 1998, the
Partnership had allowances of $6,905 and $8,676 respectively, for uncollectible
accounts receivable.

     The decrease of $84,176 in accrued property taxes from December 31, 1998 to
March 31, 1999 is primarily due to the payment of 1998 property taxes for the
Partnership's properties.

     During the three months ended March 31, 1999, the Partnership made Cash
Distributions from Operations totaling $432,046 related to the three month
period ended December 31, 1998. Subsequent to March 31, 1999, the Partnership
made a Cash Distribution from Operations of $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) relating
to the three months ended March 31, 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 $21,763 (3%) for the three months ended March 31,
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
                                                                March 31,      
                                                      -------------------------
                                                          1999          1998 
                                                      -----------    ----------
<S>                                                   <C>            <C>
Mountain View Plaza Shopping Center
   Rental income                                      $  241,343     $  232,119
   Bad debt expense (recovery)                               (72)           -0-
   Average occupancy                                          97%            97%

Castle Oaks Village Shopping Center
   Rental income                                      $  132,475     $  110,798
   Bad debt expense (recovery)                               -0-         (1,474)
   Average occupancy                                          95%            92%

Tower Place Festival Shopping Center
   Rental income                                      $  457,787     $  466,925
   Bad debt expense                                          -0-            611
   Average occupancy                                          97%            98%
</TABLE>

     Rental income at Mountain View Plaza in Scottsdale, Arizona increased
$9,224 for the three months ended March 31, 1999 as compared to the same period
in 1998 due to higher tenant reimbursements for common area maintenance costs,
real estate taxes, and insurance costs.

     Occupancy at Mountain View averaged 97% during the quarter ended March 31,
1999, a one percent decrease from the previous quarter. A restaurant which
occupied 1,540 square feet vacated its premises prior to the expiration of its
lease. However, the tenant paid all of its rental obligation through the term of
the lease and this space has subsequently been leased to a new restaurant for
five years. Another restaurant which occupied 1,380 square feet under a lease
that expired April 30 assigned the lease to a new owner who extended the term of
the lease for an additional three years. A new tenant who signed a lease for
1,170 square feet in December took occupancy of the space in February. A tenant
who occupies 1,039 square feet renewed its lease for five years.

     Rental income at Castle Oaks Village in Castle Hills (San Antonio), Texas
increased $21,677 for the three months ended March 31, 1999 as compared to the
same period in 1998 primarily due to an increase in occupancy, an increase in
rental rates, and higher tenant reimbursements for common area maintenance
costs, real estate taxes, and insurance costs.

     Occupancy at Castle Oaks averaged 95% during the quarter ended March 31,
1999, a two percent increase over the previous quarter. One tenant who occupied
1,245 square feet expanded, taking an additional 932 square feet. This tenant
also extended the term of the lease for one year and the lease will now expire
November 30, 2001. In January the parking lot lighting was upgraded, making the
shopping center brighter at night.

     Rental income at Tower Place Festival in Pineville (Charlotte), North
Carolina decreased $9,138 for the three months ended March 31, 1999 as compared
to the same period in 1998 primarily due to a decrease in tenant reimbursements
for common area maintenance costs, and insurance costs.




                                       10
<PAGE>   11

     Occupancy at Tower Place averaged 97% during the quarter ended March 31,
1999, a three percent increase over the previous quarter. During the fourth
quarter of last year, a new lease for 1,260 square feet was signed and this
tenant took occupancy in January. A new lease for 1,600 square feet was signed
and the tenant will take occupancy during the second quarter. A lease for 2,310
square feet was signed; however, the tenant never took occupancy and management
is attempting to lease this space. To date, this tenant has paid rent according
to the terms of its lease. Two tenants who occupy a total of 3,650 square feet
renewed their leases for three years. Subsequent to the end of the quarter,
Famous Footwear, who occupies 9,600 square feet, notified management that it is
exercising a clause in its lease allowing it to terminate the lease with six
months notice. The termination date of the lease will be October 5, 1999.
Management is aggressively pursuing a replacement for this space.

     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 were flat for the period ended March 31, 1999 as
compared to the same period in 1998. Mountain View's total operating expenses
increased with increases in legal fees and real estate taxes being offset by
decreases in security costs, repair and maintenance costs and landscaping
services. Castle Oaks' total operating expenses increased slightly because of
higher property management fees and real estate taxes. Tower Place's total
operating expenses decreased with higher repair and maintenance cost offset by
lower security costs, legal fees 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 decreased $2,643 for the
quarter ended March 31, 1999 as compared to the same period in 1998 primarily
due to decreases in accounting and legal costs, investor services cost and
telephone expenses, offset by increases in salaries and benefits.

     The Partnership recognizes 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. Through March 31, 1999, the Partnership is
continuing to assess 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
approximate 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 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 March 31, 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:  May 11, 1999                       By:  /s/ Mitchell Armstrong
                                             -----------------------------------
                                               Mitchell Armstrong
                                               President
                                               Chief Financial Officer


<PAGE>   16

INDEX TO EXHIBITS

Document
Number        Description
--------      -----------

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 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.

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.