FORM 10-Q--QUARTERLY REPORT UNDER SECTION 13 OR 15 (d)
                     OF THE SECURITIES EXCHANGE ACT OF 1934
               (As last amended in Rel. No. 312905, eff. 4/26/93.)
                                        
                                  UNITED STATES
                       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, 1996

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

               For the transition period from.........to.........
            (Amended by Exchange Act Rel. No. 312905, eff. 4/26/93.)

                         Commission file number 0-15710


                        CENTURY PENSION INCOME FUND XXIV
             (Exact name of registrant as specified in its charter)



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

   One Insignia Financial Plaza
   Greenville, South Carolina                                     29602
(Address of principal executive offices)                        (Zip Code)


                                 (864) 239-1000
                         (Registrant's telephone number)



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      .

                                                                              

                       PART I - FINANCIAL INFORMATION


ITEM 1.  FINANCIAL STATEMENTS


a)                      CENTURY PENSION INCOME FUND XXIV
                                        
                                  BALANCE SHEETS
                        (in thousands, except unit data)

                                        
                                                     June 30,       December 31,
                                                       1996             1995   
                                                    (Unaudited)        (Note)
 Assets                                                                        
      Cash and cash equivalents                    $     1,959         $  2,190
      Deferred leasing commissions, net                    147              134
      Receivables and other assets                         388              206
      Investments in unconsolidated joint                7,577            7,383
      Investment properties:                                                   
            Real estate                                 17,771           17,737
            Accumulated depreciation                    (3,464)          (3,226)
                                                        14,307           14,511
                                                                              
                                                    $   24,378         $ 24,424
                                                                              
                                                                              
 Liabilities and Partners' Capital                                             
 Liabilities                                                                   
      Accrued expenses and other liabilities        $      139         $    106
                                                                              
                                                                              
 Partners' Capital                                                             
   General partner's                                        --               --
   Limited partners' (73,341 units issued and                                  
     outstanding at June 30, 1996, and                                         
     December 31, 1995)                                 24,239           24,318
        Total partners' capital                         24,239           24,318
                                                                              
                                                    $   24,378         $ 24,424

       Note:  The balance sheet at December 31, 1995, has been derived
              from the audited financial statements at that date but does
              not include all of the information and footnotes required
              by generally accepted accounting principles for complete
              financial statements.

                 See Accompanying Notes to Financial Statements

b)                      CENTURY PENSION INCOME FUND XXIV

                            STATEMENTS OF OPERATIONS
                                   (Unaudited)
                      (in thousands, except per unit data)


                                              

                                     Three Months Ended             Six Months Ended
                                         June 30,                      June 30, 
                                     1996           1995           1996          1995   
                                                                  
 Revenues:                                                           
   Rental income                  $     493      $     479       $   1,072     $      969
   Other income                          25             31              53             49
   Equity in income of                                                     
     unconsolidated joint                                                  
     ventures                            92            237             156            333
          Total revenues                610            747           1,281          1,351
 Expenses:                                                                 
   Operating                            138            132             247            241
   General and administrative           155            133             319            256
   Depreciation                         120            109             238            219
          Total expenses                413            374             804            716
                                                                          
 Net income                       $     197      $     373      $      477     $      635
                                                                          
 Net income allocated to                                                  
   general partner                $       3      $       3      $        6     $        6
                                                                          
 Net income allocated to                                                  
   limited partners                     194            370             471            629
                                  $     197      $     373      $      477     $      635
 Net income per limited                                                    
   partnership unit               $    2.64      $    5.04      $     6.42     $     8.58
                                                                          
 Cash distributions per                                                    
   limited partnership unit       $    3.75      $    3.75      $     7.50     $     7.50
                                                                           
<FN>                                                                         
                 See Accompanying Notes to Financial Statements



c)                      CENTURY PENSION INCOME FUND XXIV

                         STATEMENT OF PARTNERS' CAPITAL
                                   (Unaudited)
                        (in thousands, except unit data)



                                                                             
                                  Limited                          
                                Partnership     General        Limited
                                   Units        Partner's      Partners'       Total 
                                                                                      
Original capital contributions      73,341       $    --      $  36,671      $  36,671
                                                                                      
Partners' capital                                                                     
  at December 31, 1995              73,341       $    --      $  24,318      $  24,318
                                                                                      
Net income for the six                                                                
  months ended June 30, 1996            --             6            471            477
                                                                                      
Distributions to partners               --            (6)          (550)          (556)
                                                                                      
Partners' capital                                                                     
  at June 30, 1996                  73,341       $    --      $  24,239      $  24,239

<FN>
                 See Accompanying Notes to Financial Statements



d)                      CENTURY PENSION INCOME FUND XXIV
                                        
                            STATEMENTS OF CASH FLOWS
                                   (Unaudited)
                                 (in thousands)




                                                                  Six Months Ended  
                                                                       June 30,      
                                                                  1996         1995 
                                                                       
 Cash flows from operating activities:                                              
   Net income                                                   $   477       $  635
   Adjustments to reconcile net income to net cash                                  
     provided by operating activities:                                              
       Depreciation                                                 238          219
       Amortization of lease commissions                             21           18
       Equity in income of unconsolidated joint                                     
          ventures' operations                                     (156)        (333)
       Change in accounts:                                                          
          Deferred leasing commissions paid                         (34)         (66)
          Receivables and other assets                             (182)         (25)
          Accrued expenses and other liabilities                     33          (21)
                                                                                   
            Net cash provided by operating activities               397          427
                                                                                    
 Cash flows from investing activities:                                              
    Property improvements and replacements                          (34)        (385)
    (Contributions to) distributions received from                                  
       unconsolidated joint venture                                 (38)         574
                                                                                   
            Net cash (used in) provided by investing                                
                activities                                          (72)         189
                                                                                    
 Cash flows from financing activities:                                              
    Distributions to partners                                      (556)        (556)
                                                                                   
            Net cash used in financing activities                  (556)        (556)
                                                                                    
 (Decrease) increase in cash and cash equivalents                  (231)          60
                                                                                    
 Cash and cash equivalents at beginning of period                 2,190        2,038
                                                                                    
 Cash and cash equivalents at end of period                     $ 1,959      $ 2,098

<FN>
                 See Accompanying Notes to Financial Statements


e)                      CENTURY PENSION INCOME FUND XXIV

                          NOTES TO FINANCIAL STATEMENTS
                                   (Unaudited)

Note A - Basis of Presentation

The accompanying unaudited financial statements have been prepared in accordance
with generally accepted accounting principles for interim financial information
and with the instructions to Form 10-Q and Article 10 of Regulation S-X. 
Accordingly, they do not include all of the information and footnotes required
by generally accepted accounting principles for complete financial statements. 
In the opinion of Fox Capital Management Corporation ("FCMC" or the "Managing
General Partner"), all adjustments (consisting of normal recurring accruals)
considered necessary for a fair presentation have been included.  Operating
results for the three and six month periods ended June 30, 1996, are not
necessarily indicative of the results that may be expected for the fiscal year
ending December 31, 1996.  For further information, refer to the financial
statements and footnotes thereto included in the Partnership's annual report on
Form 10-K for the year ended December 31, 1995.

Certain reclassifications have been made to the 1995 information to conform to
the 1996 presentation.

Note B - Transactions with Affiliated Parties

The Partnership has no employees and is dependent on the Managing General
Partner and its affiliates for the management and administration of all
partnership activities.  The Partnership Agreement provides for payments to
affiliates for services and as reimbursement of certain expenses incurred by
affiliates on behalf of the Partnership.

The following transactions with affiliates of Insignia Financial Group, Inc.
("Insignia"), National Property Investors, Inc. ("NPI"), and affiliates of NPI
were charged to expense in 1996 and 1995:
                                                                              



                                                          For the Six Months Ended
                                                                   June 30,       
                                                             1996           1995  
                                                                  
Partnership management fee (included in general                                   
   and administrative expenses)                            $ 62,000      $  62,000

Reimbursement for services of affiliates (included                                
   in general and administrative expenses)                  101,000         48,000



For the period from January 19, 1996, to June 30, 1996, the Partnership insured
its properties under a master policy through an agency and insurer unaffiliated
with the Managing General Partner.  An affiliate of the Managing General Partner
acquired, in the acquisition of a business, certain financial obligations from
an insurance agency which was later acquired by the agent who placed the current
year's master policy.  The current agent assumed the financial obligations to
the affiliate of the Managing General Partner who received payments on these
obligations from the agent.  The amount of the Partnership's insurance premiums
accruing to the benefit of the affiliate of the Managing General Partner by 
virtue of the agent's obligations is not significant.

For the period ended June 30, 1995, an affiliate of NPI was paid a fee of
$16,000 ($5,000 allocated to the Partnership) relating to the successful real
estate tax appeal on the Partnership's Coral Palm Plaza and Minneapolis Business
Park joint venture properties.  This fee is included in operating expenses.

The general partner received cash distributions of $6,000 during the six months
ended June 30, 1996 and 1995.

Fox Partners VI, a California general partnership, is the general partner.  The
general partners of Fox Partners VI are FCMC, a California corporation, and Fox
Realty Investors ("FRI"), a California general partnership.

Pursuant to a series of transactions which closed during the first half of 1996,
affiliates of Insignia acquired (i) control of NPI Equity Investments II, Inc.,
the managing general partner of FRI, and (ii) all of the issued and outstanding
shares of stock of FCMC.  In connection with these transactions, affiliates of
Insignia appointed new officers and directors of NPI Equity Investments II, Inc.
and FCMC. 

Note C - Investments In Unconsolidated Joint Ventures

The Partnership has investments in two unconsolidated joint ventures as follows:

Coral Palm Plaza Joint Venture

On January 21, 1987, the Partnership acquired a 33.33% ownership interest in
Coral Palm Plaza Joint Venture ("Coral Palm"), a joint venture with Century
Pension Income Fund XXIII, a California Limited Partnership ("CPIF XXIII") and
an affiliate of FCMC and FRI.  Also, on January 23, 1987, Coral Palm Plaza Joint
Venture acquired the Coral Palm Plaza, a shopping center located in Coral
Springs, Florida.  The Partnership's interest in the Coral Palm Plaza Joint
Venture is reported using the equity method of accounting.

Minneapolis Business Parks Joint Venture

On April 30, 1987, the Partnership acquired a 32% ownership interest in
Minneapolis Business Parks Joint Venture, a joint venture with CPIF XXIII.  On
May 5, 1987, Minneapolis Business Parks Joint Venture acquired Alpha Business
Center located in Bloomington, Minnesota, Plymouth Service Center located in
Plymouth, Minnesota, and Westpoint Business Center located in Plymouth,
Minnesota.  The Partnership's interest in the Minneapolis Business Parks Joint
Venture is reported using the equity method of accounting.

The following are the balance sheets as of June 30, 1996, and December 31, 1995,
and condensed statements of operations for the three and six months ended June
30, 1996 and 1995, of Coral Palm Plaza Joint Venture.

                         CORAL PALM PLAZA JOINT VENTURE

                                 BALANCE SHEETS
                                 (in thousands) 
                                        
                                                     June 30,       December 31,
                                                       1996             1995   
                                                    (Unaudited)        (Note)
 Assets                                                                        
    Cash and cash equivalents                        $     335         $    263
    Deferred leasing commissions, net                      150              154
    Receivables and other assets, net of                                       
     allowance of $116 and $0, respectively                110              270
    Investment properties:                                                     
       Real estate                                       9,471            9,049
       Less accumulated depreciation                    (3,130)          (3,046)
                                                         6,341            6,003
                                                                               
                                                     $   6,936         $  6,690
 Liabilities and Partners' Capital                                             
 Liabilities                                                                   
    Accrued expenses and other liabilities           $     450         $    345
                                                                               
 Partners' Capital:                                                            
    Century Pension Income Fund XXIII                    4,324            4,231
    Century Pension Income Fund XXIV                     2,162            2,114
     Total partners' capital                             6,486            6,345
                                                                               
                                                     $   6,936         $  6,690


   Note: The balance sheet at December 31, 1995, has been derived from the
         audited financial statements at that date but does not include all
         of the information and footnotes required by generally accepted
         accounting principles for complete financial statements.

Note C - Investments In Unconsolidated Joint Ventures - continued


                         CORAL PALM PLAZA JOINT VENTURE

                       CONDENSED STATEMENTS OF OPERATIONS
                                   (Unaudited)
                                 (in thousands)


   
                                                                              
                                        Three Months Ended          Six Months Ended
                                             June 30,                   June 30, 
                                        1996          1995          1996        1995  
                                                                      
 Revenues                             $   255      $     673     $    534      $    946 
 Expenses:                                                                              
   Bad debt expense                        --             --          116            -- 
   Other expenses                         171            176          388           358 
      Total expenses                      171            176          504      $    358 
                                                                                       
 Net income                          $     84      $     497     $     30      $    588 
                                                                                        
 Allocation of net income:                                                              
   Century Pension                                                                      
    Income Fund XXIII                $     56       $    331     $     20      $    392 
   Century Pension                                                                      
    Income Fund XXIV                       28            166           10           196 
                                     $     84       $    497     $     30      $    588 



The following are the balance sheets as of June 30, 1996, and December 31, 1995,
and condensed statements of operations for the three and six months ended June
30, 1996 and 1995, of Minneapolis Business Parks Joint Venture.


                    MINNEAPOLIS BUSINESS PARKS JOINT VENTURE

                                 BALANCE SHEETS
                                 (in thousands)

                                                                             
                                                     June 30,       December 31,
                                                       1996             1995   
                                                    (Unaudited)        (Note)
 Assets                                                                        
  Cash and cash equivalents                         $      941         $    159
  Deferred leasing commissions, net                        228              243
  Receivables and other assets                             181              193
  Investment properties:                                                       
    Real estate                                         20,474           20,467
    Less accumulated depreciation                       (4,897)          (4,603)
                                                        15,577           15,864
                                                                              
                                                    $   16,927         $ 16,459

 Liabilities and Partners' Capital                                             
 Liabilities                                                                   
  Accrued expenses and other liabilities            $      168         $    157
                                                                              
 Partners' Capital:                                                            
  Century Pension Income Fund XXIII                     11,344           11,033
  Century Pension Income Fund XXIV                       5,415            5,269
    Total partners' capital                             16,759           16,302
                                                                               
                                                    $   16,927         $ 16,459

 Note:     The balance sheet at December 31, 1995, has been derived from the
           audited financial statements at that date but does not include all
           of the information and footnotes required by generally accepted
           accounting principles for complete financial statements.


Note C - Investments In Unconsolidated Joint Ventures - continued

                    MINNEAPOLIS BUSINESS PARKS JOINT VENTURE

                       CONDENSED STATEMENTS OF OPERATIONS
                                   (Unaudited)
                                 (in thousands)
   


                                                                              
                                     Three Months Ended             Six Months Ended
                                         June 30,                      June 30, 
                                    1996           1995           1996          1995  
                                                                     
 Rental and other revenues        $    751       $     720     $   1,517     $    1,435
                                                                                      
 Expenses                              551             497         1,060          1,007
                                                                                       
 Net income                       $    200       $     223     $     457     $      428
                                                                                       
 Allocation of net income:                                                             
  Century Pension                                                                      
    Income Fund XXIII             $    136        $    152     $     311     $      291
  Century Pension                                                                      
    Income Fund XXIV                    64              71           146            137
                                  $    200        $    223     $     457     $      428
                                                                
                                                                     

Note D - Distributions to Partners

The Partnership distributed $556,000 in cash during the six month periods ended
June 30, 1996 and 1995 ($550,000 to limited partners and $6,000 to the general
partner).


ITEM 2.    MANAGEMENT'S DISCUSSION AND ANALYSIS OR PLAN OF OPERATION

The Partnership's investment properties consist of three wholly-owned shopping
centers, as well as three business parks and one shopping center owned by two
unconsolidated joint ventures between the Partnership and an affiliated
partnership.  The following table sets forth the average occupancy of the
properties for the six months ended June 30, 1996 and 1995:

                                                                             
                                                           Average
                                                          Occupancy
 Property                                             1996        1995
 
Butler Square Center                                   
  Mauldin, South Carolina                             98%          93%
                                                        
 Kenilworth Commons Shopping Center                     
  Charlotte, North Carolina                           100%        100%
                                                        
 Plantation Pointe Shopping Center                      
  Smyrna, Georgia                                     98%          98%
                                                        
 Coral Palm Plaza (1)                                   
  Coral Springs, Florida                              74%          67%
                                                        
 Alpha Business Center (2)                              
  Bloomington, Minnesota                              92%          95%
                                                        
 Plymouth Service Center (2)                            
  Plymouth, Minnesota                                 100%        100%
                                                        
 Westpoint Business Center (2)                          
  Plymouth, Minnesota                                 96%          91%


(1) Property is owned by Coral Palm Plaza Joint Venture, which is a joint
    venture between the Partnership, which has a 33 1/3% interest, and an
    affiliated partnership.
(2) Property is owned by Minneapolis Business Parks Joint Venture, which
    is a joint venture between the Partnership, which has a 32% interest,
    and an affiliated partnership.

The Managing General Partner attributes the increased occupancy at Butler Square
Shopping Center to the growing local economy which has been strongly influenced
by the introduction of two major employers into the market.  In addition, Coral
Palm Plaza's occupancy increased due to the leasing in 1995 of all of the space
that became available when one tenant representing 23% of the building's space
negotiated a lease buy-out in 1994.  Partially offsetting this increase in
occupancy at Coral Palm Plaza was the October 1995 lease buy-out and termination
agreement with another former tenant.  The $300,000 termination payment has been
deferred and is being amortized into income on a straight-line basis over the
remainder of the former tenant's lease until the related unoccupied space is
leased again.  Occupancy declined at Alpha Business Center as a result of one
tenant reducing its leasable space from 8% to 2% of the building at the end of
the second quarter of 1995.  Finally, Westpoint Business Center's occupancy
increased due to a strong local market and the successful execution of new
leases representing approximately 9% of the business park's space since June 30,
1995. 

The Partnership's net income for the six months ended June 30, 1996, was 
approximately $477,000 versus $635,000 for the same period of 1995.  The net
income for the three months ended June 30, 1996, was approximately $197,000
compared to net income of approximately $373,000 for the three months ended June
30, 1995.  The decrease in net income is primarily attributable to a decrease in
equity in joint venture operations and an increase in general and administrative
expenses.  The decrease in equity in joint venture operations is the result of
the recognition of income in June of 1995 relating to a lease buy-out at the
Partnership's unconsolidated joint venture property, Coral Palm Plaza.  The
Managing General Partner accepted a lease buy-out of $800,000 in December 1994
from a significant tenant which occupied 27,000 square feet.  During June 1995,
the Managing General Partner 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).  As a result, other
income at Coral Palm Plaza decreased from the prior year, causing the decrease
in equity in joint venture operations.  The increase in general and
administrative expenses is due to an increase in expense reimbursements related
to the transition of the partnership administration offices.
 
As part of the ongoing business plan of the Partnership, the Managing General
Partner monitors the rental market environment of its investment properties to
assess the feasibility of increasing rents, maintaining or increasing occupancy
levels and protecting the Partnership from increases in expense.  As part of
this plan, the Managing General Partner attempts to protect the Partnership from
the burden of inflation-related increases in expenses by increasing rents and
maintaining a high overall occupancy level.  However, due to changing market
conditions, which can result in the use of rental concessions and rental
reductions to offset softening market conditions, there is no guarantee that the
Managing General Partner will be able to sustain such a plan.

At June 30, 1996, the Partnership had unrestricted cash of approximately
$1,959,000 as compared to $2,098,000 at June 30, 1995.  Net cash provided by
operating activities decreased primarily due to the decrease in net income as
discussed above.   The increase in receivables and other assets is primarily
attributable to the increase in common area maintenance receivables due to the
timing of billings.  Net cash used in investing activities increased primarily
due to a distribution from unconsolidated joint ventures in 1995, as opposed to
a Partnership contribution to the Coral Palm Joint Venture in 1996.  Partially
offsetting this increase in cash used in investing activities was a decrease in
property improvements and replacements due to 1995 tenant improvements at the
Partnership's Butler Square Center.  Net cash used in financing activities
remained constant, representing distributions of $556,000 to the partners for
both six month periods ending June 30, 1996 and 1995.

The sufficiency of existing liquid assets to meet future liquidity and capital
expenditure requirements is directly related to the level of capital
expenditures required at the property to adequately maintain the physical assets
and other operating needs of the Partnership.  Such assets are currently thought
to be sufficient for any near-term needs of the partnership.  The Partnership
distributed $1,111,000 to the partners (including $11,000 to the general
partner) during 1995 and $556,000 to the partners (including $6,000 to the
general partner) in the six months ended June 30, 1996.  Future cash
distributions will depend on the levels of cash generated from operations,
property sales, and the availability of cash reserves, however, quarterly
distributions are expected to continue throughout 1996.  The level of such
distributions will be contingent upon successful future operations.  


                        PART II - OTHER INFORMATION


ITEM 6. EXHIBITS AND REPORTS ON FORM 8-K

           a)     Exhibit 27, Financial Data Schedule, is filed as an exhibit to
                  this report.

           b)     Reports on Form 8-K:  None filed during the quarter ended June
                  30, 1996.



                                   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.





                                    CENTURY PENSION INCOME FUND XXIV


                                    By:   FOX PARTNERS VI
                                          Its General Partner


                                    By:   FOX CAPITAL MANAGEMENT CORPORATION, 
                                          Its Managing General Partner


                                    By:   /s/William H. Jarrard, Jr.           
                                          William H. Jarrard, Jr.
                                          President and Director


                                    By:   /s/Ronald Uretta                     
                                          Ronald Uretta
                                          Principal Financial Officer
                                          and Principal Accounting Officer


                                    Date: August 14, 1996