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, 1995

                                      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 number   0-15710
                                   
                     Century Pension Income Fund XXIV,
                     A California Limited Partnership
          (Exact name of Registrant as specified in its charter)

            California                                  94-2984976   
  (State or other jurisdiction of          (I.R.S. Employer Identification No.)
   incorporation or organization)

5665 Northside Drive N.W., Ste. 370, Atlanta, Georgia              30328     
        (Address of principal executive office)                  (Zip Code)

  Registrant's telephone number, including area code (404) 916-9090

                                       N/A                                      
  Former name, former address and fiscal year, if changed since last report.

Indicate by check mark whether 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_____

           APPLICABLE ONLY TO ISSUERS INVOLVED IN BANKRUPTCY
             PROCEEDINGS DURING THE PRECEDING FIVE YEARS:

Indicate by check mark whether the Registrant (1) has filed all reports
required to be filed by Section 12, 13, or 15(d) of the Securities
Exchange Act of 1934 subsequent to the distribution of securities under
a plan confirmed by a court.   Yes _____ No _____

APPLICABLE ONLY TO CORPORATE ISSUERS: Indicate the number of shares
outstanding of each of the issuer's classes of common stock, as of the
latest practicable date __________________.


                               1 of 16



CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
A California Limited Partnership
                                                             
PART I - FINANCIAL INFORMATION
                                                             
                                                             
Item 1.  Financial Statements.
                                                             
                                                             
Balance Sheets
                                                    June 30,      December 31,
                                                      1995            1994
                                                  (Unaudited)       (Audited)
Assets

Cash and cash equivalents                         $ 2,098,000     $ 2,038,000

Receivables and other assets                          210,000         185,000

Investments in unconsolidated joint ventures        7,440,000       7,681,000

Real Estate:

   Real estate                                     17,709,000      17,324,000
   Accumulated depreciation                        (2,983,000)     (2,764,000)
                                                  -----------     -----------
Real estate, net                                   14,726,000      14,560,000

Deferred leasing commissions, net                     150,000         102,000
                                                  -----------     -----------
   Total assets                                   $24,624,000     $24,566,000
                                                  ===========     ===========

Liabilities and Partners' Equity

Accrued expenses and other liabilities            $   133,000     $   154,000
                                                  -----------     -----------
   Total liabilities                                  133,000         154,000
                                                  -----------     -----------
Commitments and Contingencies

Partners' equity:

General partner                                          --           (20,000)
Limited partners (73,341 units outstanding at
  June 30, 1995 and December 31, 1994)             24,491,000      24,432,000
                                                  -----------     -----------
   Total partners' equity                          24,491,000      24,412,000
                                                  -----------     -----------

   Total liabilities and partners' equity         $24,624,000     $24,566,000
                                                  ===========     ===========



                      See notes to financial statements.
                                                             
                                    2 of 16



         CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                       A California Limited Partnership


Statements of Operations (Unaudited)
                                                             
                                                             
                                                             
                                                 For the Six Months Ended
                                                June 30, 1995   June 30, 1994
                                                             
                                                             
Revenues:                                                             

 Rental                                           $  969,000      $  842,000
 Interest income                                      49,000          49,000
 Equity in unconsolidated joint ventures' 
  operations                                         333,000          98,000
                                                  ----------      ----------
  Total revenues                                   1,351,000         989,000
                                                  ----------      ----------

Expenses:

 General and administrative                          256,000         254,000
 Depreciation                                        219,000         219,000
 Operating                                           241,000         207,000
                                                  ----------      ----------
  Total expenses                                     716,000         680,000
                                                  ----------      ----------
Net income                                        $  635,000      $  309,000
                                                  ==========      ==========
Net income per limited partnership assignee unit  $        8      $        4
                                                  ==========      ==========
Cash distributions per limited partnership
   assignee unit                                  $        8      $        8
                                                  ==========      ==========


                                                             
                      See notes to financial statements.
                                                             
                                    3 of 16





         CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                       A California Limited Partnership
                                                             
                                                             
Statements of Operations (Unaudited)
                                                             
                                                             
                                                             
                                                  For the Three Months Ended
                                                June 30, 1995   June 30, 1994
                                                             
                                                             
Revenues:                                                             
                                                             
 Rental                                            $479,000        $438,000
 Interest income                                     31,000          16,000
 Equity in unconsolidated joint ventures'
  operations                                        237,000          28,000
                                                   --------        --------
  Total revenues                                    747,000         482,000
                                                   --------        --------

Expenses:

 General and administrative                         133,000         139,000
 Depreciation                                       109,000         109,000
 Operating                                          132,000         113,000
                                                   --------        --------
  Total expenses                                    374,000         361,000
                                                   --------        --------
Net income                                         $373,000        $121,000
                                                   ========        ========
Net income per limited partnership assignee unit   $      5        $      2
                                                   ========        ========
Cash distributions per limited partnership
   assignee unit                                   $      4        $      4
                                                   ========        ========



                      See notes to financial statements.
                                                             
                                    4 of 16


         CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                       A California Limited Partnership
                                                             
                                                             
Statements of Cash Flows (Unaudited)

                                                             
                                                   For the Six Months Ended
                                               June 30, 1995      June 30, 1994
                                                             
Operating Activities:                                            

Net income                                      $  635,000         $  309,000
Adjustments to reconcile net income to net
  cash provided by operating activities:
    Depreciation and amortization                  237,000            226,000
    Equity in unconsolidated joint ventures'
      operations                                  (333,000)           (98,000)
    Leasing commissions paid                       (66,000)           (25,000)
Changes in operating assets and liabilities:
 Receivables and other assets                      (25,000)            45,000
 Accrued expenses and other liabilities            (21,000)           (24,000)
                                                ----------         ----------
Net cash provided by operating activities          427,000            433,000
                                                ----------         ----------
Investing Activities:

Additions to real estate                          (385,000)           (41,000)
Unconsolidated joint venture distributions
  received                                         574,000               --   
Proceeds from cash investments                        --            1,283,000
                                                ----------         ----------
Net cash provided by investing activities          189,000          1,242,000
                                                ----------         ----------
Financing Activities:

Cash distribution to partners                     (556,000)          (556,000)
                                                ----------         ----------
Cash (used in) financing activities               (556,000)          (556,000)
                                                ----------         ----------
Increase in Cash and Cash Equivalents               60,000          1,119,000

Cash and Cash Equivalents at Beginning
  of Period                                      2,038,000          1,036,000
                                                ----------         ----------
Cash and Cash Equivalents at End of Period      $2,098,000         $2,155,000
                                                ==========         ==========



                      See notes to financial statements.
                                                             
                                    5 of 16




    CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                   A California Limited Partnership
                     NOTES TO FINANCIAL STATEMENTS


1.  General

    The accompanying financial statements, footnotes and discussions should be 
    read in conjunction with the financial statements, related footnotes and 
    discussions contained in the Partnership's Annual Report for the year ended 
    December 31, 1994.

    The financial information contained herein is unaudited. In the opinion of 
    management, however, all adjustments necessary for a fair presentation of 
    such financial information have been included. All adjustments are of a 
    normal recurring nature.

    The results of operations for the six and three months ended June 30, 1995 
    and 1994 are not necessarily indicative of the results to be expected for 
    the full year.

2.  Transactions with Related Parties

    (a)  An affiliate of NPI, Inc. received reimbursements of administrative 
         expenses amounting to $48,000 and $51,000 during the six months ended 
         June 30, 1995 and 1994, respectively. These reimbursements are 
         included in general and administrative expenses.

    (b)  During the six months ended June 30, 1995 and 1994, an affiliate of 
         NPI, Inc. was paid a $16,000 and a $10,000 fee ($5,000 and $3,000 
         allocated to the Partnership, respectively) relating to a successful 
         real estate tax appeal on the Partnership's Coral Palm Plaza and
         Minneapolis Business Park joint venture properties.  These fees are 
         included in operating expenses.

    (c)  The general partner is entitled to receive a partnership management 
         fee in the amount equal to 10 percent of cash available for 
         distribution.  For each of the six months periods ended June 30, 1995 
         and 1994, the general partner received $62,000. These fees are 
         included in general and administrative expenses.

    (d)  In accordance with the partnership agreement, the general partner was 
         allocated its one percent continuing interest in the Partnership's 
         cash distributions (see Note 3). Net income has been allocated to the 
         general partner in an amount equal to the amount of cash distributions
         received by the general partner which had not been previously 
         allocated.

3.  Distributions to Partners

    The Partnership distributed $556,000 in cash during the six months ended 
    June 30, 1995 ($550,000 to limited partners and $6,000 to the general 
    partner).

4.  Equity in Unconsolidated Joint Ventures' Operations
 
    At the Partnership's unconsolidated joint venture property, Coral Palm 
    Plaza, management accepted a lease buy-out of $800,000 in December 1994 

    from a significant tenant which occupied 27,000 square feet (and was 
    received in 1995).  During June 1995, management re-leased 20,000
    square feet of the unoccupied space, on similar terms, and recognized a 
    portion of the lease buy-out in the amount of $517,000 ($172,000 allocated 
    to the Partnership).  The remaining portion has been deferred and is 
    currently being amortized as rental income over the remaining eight years of
    the former tenant's lease.  Management is negotiating to re-lease the 
    remaining 7,000 square feet.
                               6 of 16



         CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                       A California Limited Partnership

                         NOTES TO FINANCIAL STATEMENTS
                                                             

5.  Investment in Unconsolidated Joint Ventures
                                                             
    The Partnership has  investments  in  two  unconsolidated joint ventures, 
    Coral Palm Plaza Joint Venture and Minneapolis Business Parks Joint Venture.

    The following are the condensed balance sheets as of June 30, 1995 
    and December 31, 1994 and condensed statements of operations for the 
    six and three months ended June 30, 1995 and 1994 of Coral Palm Plaza 
    Joint Venture.
                                                             
                                                             
                       CORAL PALM JOINT VENTURE

                       CONDENSED BALANCE SHEETS


                                                   June 30,       December 31,
                                                     1995           1994
                                                  (Unaudited)      (Audited)
Assets                                                             

Cash and cash equivalents                         $  164,000      $  239,000
Receivables and other assets                         106,000         881,000

Real Estate:

   Real estate                                    16,085,000      16,065,000
   Accumulated depreciation                       (2,931,000)     (2,829,000)
   Allowance for impairment of value              (7,091,000)     (7,091,000)
                                                ------------    ------------
Real estate, net                                   6,063,000       6,145,000

Deferred leasing commissions, net                    116,000          87,000
                                                ------------    ------------
 Total assets                                   $  6,449,000    $  7,352,000
                                                ============    ============


Liabilities and Partners' Equity

Deferred income and other liabilities           $    381,000    $    844,000
                                                ------------    ------------
 Total liabilities                                   381,000         844,000
                                                ------------    ------------
Commitments and Contingencies

Partners' equity:

   Century Pension Income Fund XXIII               4,046,000       4,339,000
   Century Pension Income Fund XXIV                2,022,000       2,169,000
                                                ------------    ------------
 Total partners' equity                            6,068,000       6,508,000
                                                ------------    ------------
 Total liabilities and partners' equity         $  6,449,000    $  7,352,000
                                                ============    ============


                                7 of 16




     CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                   A California Limited Partnership
                                                             
                     NOTES TO FINANCIAL STATEMENTS

                                                             
5.  Investment in Unconsolidated Joint Ventures (Continued)
                                                             
                                                             
                       CORAL PALM JOINT VENTURE
                                                             
            CONDENSED STATEMENTS OF OPERATIONS (UNAUDITED)
                                                             
                                                             
                                                             
                                                 For the Six Months Ended
                                             June 30, 1995      June 30, 1994
                                                             
Revenues                                                             

 Rental                                         $429,000           $491,000
 Other income                                    517,000               --   
                                                --------           --------
                                                 946,000            491,000

Expenses                                         358,000            451,000
                                                --------           --------
Net income                                      $588,000           $ 40,000
                                                ========           ========


Allocation of net income:
 CPIF XXIII                                     $392,000           $ 27,000
 CPIF XXIV                                       196,000             13,000
                                                --------           --------
 Net income                                     $588,000           $ 40,000
                                                ========           ========

 
                                               For the Three Months Ended
                                             June 30, 1995       June 30, 1994
                                                              
Revenues                                                             
                                                             
 Rental                                         $156,000           $ 157,000
 Other income                                    517,000                --   
                                                --------           ---------
                                                 673,000             157,000

Expenses                                         176,000             223,000
                                                --------           ---------
Net income (loss)                               $497,000            $(66,000)
                                                ========            ========

Allocation of net income (loss):
 CPIF XXIII                                     $331,000            $(44,000)
 CPIF XXIV                                       166,000             (22,000)
                                                --------           ---------
 Net income (loss)                              $497,000            $(66,000)
                                                ========            ========


                                8 of 16




     CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                   A California Limited Partnership
                                                             
                     NOTES TO FINANCIAL STATEMENTS
                                                             
                                                             
5.  Investment in Unconsolidated Joint Ventures (Continued)
                                                             
    The  following  are  the  condensed  balance  sheets as of June 30, 1995 
    and December 31, 1994  and  condensed  statements of operations for the 
    six and three months ended June 30, 1995 and 1994 of Minneapolis Business 
    Parks Joint Venture.
                                                             
                                                             
               MINNEAPOLIS BUSINESS PARKS JOINT VENTURE
                                                             
                       CONDENSED BALANCE SHEETS

                                                             
                                                             
                                                   June 30,      December 31,
                                                    1995            1994
                                                  (Unaudited)     (Audited)
Assets                                                             

Cash and cash equivalents                         $   627,000    $   648,000
Other assets                                          478,000        134,000

Real Estate:

   Real estate                                     20,252,000     20,214,000
   Accumulated depreciation                        (4,301,000)    (3,999,000)
                                                  -----------    -----------
Real estate, net                                   15,951,000     16,215,000

Deferred leasing commissions, net                     246,000        214,000
                                                  -----------    -----------
 Total assets                                     $17,302,000    $17,211,000
                                                  ===========    ===========

Liabilities and Partners' Equity

Accrued expenses and other
  liabilities                                     $   535,000    $   151,000
                                                  -----------    -----------
 Total liabilities                                    535,000        151,000
                                                  -----------    -----------
Commitments and Contingencies

Partners' equity:

   Century Pension Income Fund XXIII               11,349,000     11,548,000
   Century Pension Income Fund XXIV                 5,418,000      5,512,000
                                                  -----------    -----------
 Total partners' equity                            16,767,000     17,060,000
                                                  -----------    -----------
 Total liabilities and partners'
   equity                                         $17,302,000    $17,211,000
                                                  ===========    ===========

                                                             
                                                             
                                9 of 16



     CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                   A California Limited Partnership
                                                             
NOTES TO FINANCIAL STATEMENTS
                                                             
                                                             

5.  Investment in Unconsolidated Joint Ventures (Continued)
                                                             
                                                             
               MINNEAPOLIS BUSINESS PARKS JOINT VENTURE
                                                             
            CONDENSED STATEMENTS OF OPERATIONS (UNAUDITED)
                                                             
                                                             
                                                             
                                                  For the Six Months Ended
                                              June 30, 1995     June 30, 1994
                                                              
                                                             
Rental and other revenues                       $1,435,000        $1,262,000

Expenses                                         1,007,000           997,000
                                                ----------        ----------
Net income                                      $  428,000        $  265,000
                                                ==========        ==========

Allocation of net income:
 CPIF XXIII                                     $  291,000        $  180,000
 CPIF XXIV                                         137,000            85,000
                                                ----------        ----------
 Net income                                     $  428,000        $  265,000
                                                ==========        ==========

                                                             
                                                 For the Three Months Ended
                                              June 30, 1995     June 30, 1994
                                                              

Rental and other revenues                       $  720,000        $  642,000

Expenses                                           497,000           487,000
                                                ----------        ----------
Net income                                      $  223,000        $  155,000
                                                ==========        ==========

Allocation of net income:
 CPIF XXIII                                     $  152,000        $  105,000
 CPIF XXIV                                          71,000            50,000
                                                ----------        ----------
 Net income                                     $  223,000        $  155,000
                                                ==========        ==========


                               10 of 16



                                                             

     CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                   A California Limited Partnership



Item 2.  Management's Discussion and Analysis of
         Financial Condition and Results of Operations.


This item should be read in conjunction with the Financial Statements
and other Items contained elsewhere in this Report.

Liquidity and Capital Resources

Registrant's real estate properties consist of three shopping center
properties and investments in two unconsolidated joint ventures.  The
three shopping centers are located in South Carolina, North Carolina and
Georgia.  The unconsolidated joint venture properties include one
shopping center in Florida and three business parks in Minnesota.  The
properties are leased to tenants subject to leases with remaining lease
terms of up to twenty years.  Registrant receives rental income from its
properties and is responsible for operating expenses, administrative
expenses and capital improvements.  All of Registrant's properties,
except for Butler Square Center, generated positive cash flow for the
six months ended June 30, 1995.  Registrant's Butler Square Center
property generated negative cash flow due to  extensive tenant
improvements.

Registrant uses working capital reserves provided from any undistributed
cash flow from operations as its primary source of liquidity. 
Registrant distributed $556,000 to partners (including $6,000 to the
general partner) during the six months ended June 30, 1995 and 1994. 
Distributions are expected to continue in the near future.  The level of
such distributions will be contingent upon successful future operations. 

The level of liquidity based on cash and cash equivalents experienced a
$60,000 increase at June 30, 1995, as compared to December 31, 1994. 
Registrant's $574,000 of distributions received from unconsolidated
joint ventures (investing activities) and the $427,000 of net cash
provided by operating activities were only partially offset by the
$385,000 of improvements to real estate (investing activities) and
$556,000 of cash distributions to partners (financing activities).  The
improvements to real estate were primarily at Registrant's Butler Square
Center property relating to a significant tenant's expansion of its
existing space.  Registrant renegotiated the tenant's lease terms to
expand the tenant's existing space by 6,500 square feet, extend the
expiration date of its lease from August 31, 2007 to April 30, 2015 and
include Registrant's payment of $250,000 for tenant improvements.  All
other increases (decreases) in certain assets and liabilities are the
result of the timing of receipt and payment of various operating
activities.

Working capital reserves are invested in a money market account or in
repurchase agreements secured by United States Treasury obligations.  At
Registrant's joint venture property, Coral Palm Plaza, management
accepted a lease buy-out of $800,000 in December 1994 from a significant
tenant that had occupied 27,000 square feet, (and was received in 1995). 

During June 1995, management re-leased 20,000 square feet of the
unoccupied space, on similar terms, and recognized a portion of the
lease buy-out in the amount of $517,000 ($172,000 allocated to the
Partnership).  The remaining portion has been deferred and is being
amortized as rental income over the remaining eight years of the former
tenant's lease.  Management is negotiating to re-lease the remaining
7,000 square feet.  The Managing General Partner believes that if market
conditions remain relatively stable, cash flow from operations, when
combined with working capital reserves, will be sufficient to fund
required capital improvements in 1995 and the foreseeable future.



                               11 of 16



     CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                   A California Limited Partnership

Item 2.  Management's Discussion and Analysis of
         Financial Condition and Results of Operations.


Real Estate Market

The national real estate market has suffered from the effects of the
real estate recession including, but not limited to, a downward trend in
market values of existing properties. In addition, the bailout of the
savings and loan associations and sales of foreclosed properties by
auction reduced market values and caused a further restriction on the
ability to obtain credit.  As a result, Registrant's ability to sell its
properties may be restricted.  These factors caused a decline in market
property values and serve to reduce market rental rates and/or sales
prices.  Furthermore, management believes that the emergence of new
institutional purchasers, including real estate investment trusts and
insurance companies, should create a more favorable market value for
Registrant's properties in the future.
                                   
Results of Operations

Six Months Ended June 30, 1995 vs. June 30, 1994

Operating results improved by $326,000 for the six months ended June 30,
1995, as compared to 1994, due to an increase in revenues of $362,000,
which was only slightly offset by an increase in expenses of $36,000.

Revenues increased by $362,000 for the six months ended June 30, 1995,
as compared to 1994, due to increases in equity in unconsolidated joint
venture operations of $235,000 and rental income of $127,000.  Equity in
unconsolidated joint ventures' operations increased due to increases in
occupancy at all of Registrant's Minneapolis Business Parks joint
venture properties and the recognition of a portion of the termination
payment accepted from a major tenant at Coral Palm Plaza in December

1994.  Rental income increased primarily due to increased rental rates
and occupancy at Registrant's Butler Square Center property.   Interest
income remained constant due to a decrease in average working capital
reserves available for investment, which was offset by higher interest
rates.

Expenses increased by $36,000 for the six months ended June 30, 1995, as
compared to 1994, due to increases in operating expenses of $34,000 and
general and administrative expenses of $2,000.  Operating expenses
increased at all of Registrant's properties, which included an increase
in amortization of leasing commissions at Registrant's Butler Square
Center property.  General and administrative and depreciation expenses
remained relatively constant.

Three Months Ended June 30, 1995 vs. June 30, 1994

Operating results improved by $252,000 for the three months ended June
30, 1995, as compared to 1994, due to an increase in revenues of
$265,000, which was partially offset by an increase in expenses of
$13,000.


                               12 of 16




     CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                   A California Limited Partnership

Item 2.  Management's Discussion and Analysis of
         Financial Condition and Results of Operations.


Results of Operations (Continued)

Three Months Ended June 30, 1995 vs. June 30, 1994 (Continued)

Revenues increased by $265,000 for the three months ended June 30, 1995,
as compared to 1994, due to increases in  equity in unconsolidated joint
venture operations of $209,000, rental income of $41,000, and interest
income of $15,000.  Equity in unconsolidated joint ventures' operations
increased due to increases in occupancy at all of Registrant's
Minneapolis Business Parks joint venture properties and the recognition
of a portion of the termination payment accepted from a major tenant at
Coral Palm Plaza in December 1994.  Rental income increased primarily
due to increased rental rates and occupancy at Registrant's Butler
Square Center property.  Interest income increased due to an adjustment
for a prior period underaccrual.

Expenses increased by $13,000 for the three months ended June 30, 1995,
as compared to 1994, due to an increase in operating expenses of
$19,000, which was only partially offset by a decrease in general and
administrative expenses of $6,000.  Operating expenses increased at all

of Registrant's properties, which included an increase in amortization
of leasing commissions at Registrant's Butler Square Center property. 
General and administrative and depreciation expenses remained relatively
constant.



                               13 of 16




     CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                   A California Limited Partnership


Item 2.    Management's Discussion and Analysis of
           Financial Condition and Results of Operations.

Properties

A description of the properties in which Registrant has an ownership
interest during the period covered by this Report, along with occupancy
data, follows:                

                   CENTURY PENSION INCOME FUND XXIV,
                   A California Limited Partnership

                           OCCUPANCY SUMMARY



                                                                                      Average
                                                                                 Occupancy Rate(%)
                                                                          ------------------------------------ 
                                                                            Six Months          Three Months 
                                  Date                                        Ended                Ended
                                   of                     Square             June 30,             June 30,
Name and Location               Purchase       Type       Footage         1995      1994        1995      1994
- -----------------               --------       ----       -------         ----      ----        ----      ----
                                                                                    
Butler Square Center             01/88       Shopping      80,000          93        77          97        81
Mauldin, South Carolina                       Center

Kenilworth Commons 
 Shopping Center                 08/88       Shopping      38,000         100       100         100       100
Charlotte, North Carolina                     Center

Plantation Pointe 
 Shopping Center                 04/89       Shopping      63,000          98        98          98        98
Smyrna, Georgia                               Center

Coral Palm Plaza 
  Joint Venture:


Coral Palm Plaza (1)             01/87       Shopping     135,000          67        85          67        87
Coral Springs, Florida                        Center

Minneapolis Business Parks 
  Joint Venture:

Alpha Business Center (2)        05/87       Business     172,000          95        86          95        87
Bloomington, Minnesota                        Park

Plymouth Service Center (2)      05/87       Business      74,000         100        97         100       100
Plymouth, Minnesota                           Park

Westpoint Business Center (2)    05/87       Business     161,000          91        73          91        72
Plymouth, Minnesota                           Park


(1) Property is owned by a joint venture between Registrant, which has a 33 and
    one-third percent interest, and an affiliated partnership.

(2) Property is owned by a joint venture between Registrant, which has a 32
    percent interest, and an affiliated partnership.

                                  
                               14 of 16


    CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                  A California Limited Partnership
                                  
                      PART II - OTHER INFORMATION
         

Item 6.  Exhibits and Reports on Form 8-K.

         No report on Form 8-K was required to be filed during the period.


                                  
                               15 of 16



     CENTURY PENSION INCOME FUND XXIV - FORM 10-Q - JUNE 30, 1995
                  A California Limited Partnership
                                   
                              SIGNATURE
                                   

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.



                              CENTURY PENSION INCOME FUND XXIV,
                              A California Limited Partnership

                              By: FOX PARTNERS VI,
                                  Its General Partner

                              By: FOX CAPITAL MANAGEMENT CORPORATION,
                                  A General Partner



                              -----------------------------------------------
                              ARTHUR N. QUELER                         
                              Secretary/Treasurer and Director
                              (Principal Financial Officer)

                                  
                               16 of 16