FORM 10-Q--QUARTERLY REPORT UNDER SECTION 13 OR 15 (D)
                     OF THE SECURITIES EXCHANGE ACT OF 1934

                                 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, 1998

                                       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)


                                 (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,
                                                   1998         1997
                                                (Unaudited)    (Note)
Assets
  Cash and cash equivalents                     $ 1,963     $ 1,889
  Receivables and deposits                          247         308
  Other assets                                      156         181
  Investments in unconsolidated joint ventures    7,675       7,429
  Investment properties:
       Land                                       4,397       4,397
       Buildings and related personal property   13,386      13,386
                                                 17,783      17,783
       Accumulated depreciation                  (4,427)     (4,186)
                                                 13,356      13,597

                                                $23,397     $23,404

Liabilities and Partners' Capital
Liabilities
  Accounts payable                              $     3     $     4
  Tenant security deposit liabilities                36          34
  Accrued property taxes                             84          81
  Other liabilities                                  17          27

Partners' Capital
  General partner                                    --          --
  Limited partner (73,341 units issued
    and outstanding at June 30, 1998
      and December 31, 1997)                     23,257      23,258
       Total partners' capital                   23,257      23,258

                                                $23,397     $23,404

Note:   The balance sheet at December 31, 1997, 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 unit data)



                                  Three Months Ended   Six Months Ended
                                       June 30,            June 30,
                                   1998      1997      1998      1997
Revenues:
 Rental income                    $  498    $  513    $1,033    $1,020
 Other income                         23        27        47        53
     Total revenues                  521       540     1,080     1,073
Expenses:
 Operating                            84       111       162       218
 General and administrative          136       152       282       271
 Depreciation                        120       120       241       240
 Property taxes                       43        42        86        84
     Total expenses                  383       425       771       813

Income before equity in income of
  unconsolidated joint ventures      138       115       309       260

Equity in income of
  unconsolidated joint ventures       99        90       246       177

Net income                        $  237    $  205    $  555    $  437

Net income allocated to
  general partner                 $    3    $    2    $    6    $    5


Net income allocated to
  limited partners                   234       203       549       432
                                  $  237    $  205    $  555    $  437
Net income per limited
  partnership unit                $ 3.20    $ 2.76    $ 7.49    $ 5.89

Distributions per
  limited partnership unit        $ 3.75    $ 3.75    $ 7.50    $ 7.50

                 See Accompanying Notes to Financial Statements

c)
                        CENTURY PENSION INCOME FUND XXIV

                   STATEMENTS OF CHANGES IN PARTNERS' CAPITAL
                                  (Unaudited)
                        (in thousands, except unit data)



                                Limited
                              Partnership General   Limited
                                 Units    Partners' Partners'   Total

Original capital contributions  73,341     $    --   $36,671   $36,671
contributions

Partners' capital
  at December 31, 1996          73,341          --   $24,193   $24,193

Net income for the six months
  ended June 30, 1997               --           5       432       437

Distributions to partners           --          (5)     (550)     (555)

Partners' capital
  at June 30, 1997              73,341     $    --   $24,075   $24,075

Partners' capital
  at December 31, 1997          73,341     $    --   $23,258   $23,258

Net income for the six months
  ended June 30, 1998               --           6       549       555

Distributions to partners           --          (6)     (550)     (556)

Partners' capital
  at June 30, 1998              73,341     $    --   $23,257   $23,257

                 See Accompanying Notes to Financial Statements

d)
                        CENTURY PENSION INCOME FUND XXIV

                            STATEMENTS OF CASH FLOWS
                                  (Unaudited)
                                 (in thousands)


                                                       Six Months Ended
                                                            June 30,
                                                        1998      1997
Cash flows from operating activities:
 Net income                                            $  555    $  437
 Adjustments to reconcile net income to net cash
   provided by operating activities:
     Depreciation                                         241       240
     Amortization of lease commissions                     25        21
     Equity in income of unconsolidated joint ventures   (246)     (177)
     Change in accounts:
       Receivables and deposits                            61        72
       Other assets                                        --       (16)
       Accounts payable                                    (1)      (10)
       Tenant security deposit liabilities                  2        (5)
       Accrued property taxes                               3        18
       Other liabilities                                  (10)        5

         Net cash provided by operating activities        630       585

Cash flows from investing activities:
  Property improvements and replacements                   --        (2)

Cash flows from financing activities:
  Distributions paid to partners                         (556)     (555)

Increase in cash and cash equivalents                      74        28

Cash and cash equivalents at beginning of period        1,889     1,929

Cash and cash equivalents at end of period             $1,963    $1,957

                 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 of Century Pension Income Fund
XXIV (the "Partnership") 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, a California corporation (the
"Managing General Partner" or "FCMC"), the Managing General Partner of the
general partner of the Partnership, 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,
1998, are not necessarily indicative of the results that may be expected for the
fiscal year ending December 31, 1998.  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, 1997.

Certain reclassifications have been made to the 1997 information to conform to
the 1998 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 Managing General Partner is wholly-owned by Insignia
Properties Trust ("IPT"), an affiliate of Insignia Financial Group, Inc.
("Insignia").  The Partnership Agreement provides for certain 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 the Managing General Partner were
charged to expense in 1998 and 1997 (in thousands):


                                                For the Six Months Ended
                                                        June 30,
                                                      1998     1997

Partnership management fee (included in general
  and administrative expenses)                        $62      $62
Reimbursement for services of affiliates (included
  in general and administrative expenses)              61       47

For the period of January 1, 1997 to August 31, 1997, the Partnership insured
its properties under a master policy through an agency affiliated with the
Managing General Partner with an 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 master policy.  The
agent assumed the financial obligations to the affiliate of the Managing General
Partner, which 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
was not significant.

The General Partner received cash distributions of approximately $6,000 and
$5,000 during the six months ended June 30, 1998 and 1997, respectively.  The
limited partners received cash distributions of approximately $550,000 during
each of the six month periods ended June 30, 1998 and 1997.

On March 17, 1998, Insignia entered into an agreement to merge its national
residential property management operations, and its controlling interest in IPT,
with Apartment Investment and Management Company ("AIMCO"), a publicly traded
real estate investment trust.  The closing, which is anticipated to happen in
September or October of 1998, is subject to customary conditions, including
government approvals and the approval of Insignia's shareholders.  If the
closing occurs, AIMCO will then control the Managing General Partner of the
Partnership.


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 23, 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 the Managing General Partner.  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.

Summary financial information for Coral Palm Plaza Joint Venture is as follows
(in thousands):
                       June 30,   December 31,
                         1998         1997
Total assets           $5,001      $5,041
Total liabilities        (216)       (366)

Total ventures equity  $4,785      $4,675

                     For the Three Months Ended  For the Six Months Ended
                             June 30,                   June 30,
                       1998            1997       1998           1997
Total revenues        $  258          $  222     $  582         $  440
Total expenses          (254)           (179)      (432)          (420)

Net income            $    4          $   43     $  150         $   20


In 1997, the property owned by the Joint Venture, with a carrying value of
$6,029,000, was determined to be impaired and its value was written down by
$2,067,000 to reflect its fair value at December 31, 1997 of $3,962,000.

The Partnership did not receive a distribution from the Joint Venture during
either of the six month periods ended June 30, 1998 or 1997.

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.

Summary financial information for Minneapolis Business Park Joint Venture is as
follows (in thousands):

                       June 30,   December 31,
                         1998         1997
Total assets           $18,939     $18,331
Total liabilities         (160)       (167)

Total ventures equity  $18,779     $18,164

                     For the Three Months Ended  For the Six Months Ended
                              June 30,                   June 30,
                        1998           1997        1998          1997
Total revenues        $   820        $   791     $ 1,673       $ 1,613
Total expenses           (515)          (552)     (1,058)       (1,080)

Net income            $   305        $   239     $   615       $   533

The Partnership did not receive a distribution from the Joint Venture during
either of the six month periods ended June 30, 1998 or 1997.


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

The Partnership's investment properties consist of three wholly-owned shopping
centers. The Partnership also has an interest in 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 three wholly-owned properties for the six months ended
June 30, 1998 and 1997:


                                            Average
                                           Occupancy
Property                                 1998      1997

Butler Square Center
  Mauldin, South Carolina                100%      100%

Kenilworth Commons Shopping Center
  Charlotte, North Carolina              100%      100%

Plantation Pointe Shopping Center
  Smyrna, Georgia                         96%       98%

The Managing General Partner attributes the decreased occupancy at Plantation
Pointe Shopping Center to the growing competition in the area and to the
investment property's rental rate being higher than the area's average market
rate per square foot.

Results of Operations

The Partnership realized net income of approximately $237,000 and $555,000
during the three and six months ended June 30, 1998, respectively, compared to
net income of approximately $205,000 and $437,000 for the three and six months
ended June 30, 1997, respectively.  The increase in net income is primarily
attributable to a decrease in operating expenses and to increases in equity in
income of both of the Partnership's unconsolidated joint ventures.  Other items
of expense and revenues remained relatively consistent for the comparable
periods.  The decrease in operating expenses is due primarily to decreases in
major repairs and maintenance costs at the Partnership's investment properties
in the first half of 1998 as compared to the same period of 1997 (as described
below).  Operating expenses also decreased due to repairs of a water leak at
Plantation Pointe in the last half of 1997 and to the absence of worker's
compensation audit adjustments during the six months ended June 30, 1998.

The increases in equity in income of the unconsolidated joint ventures are
primarily attributable to net increases in rental income due to increased rental
rates at Coral Palm and to an increase in occupancy at Alpha Business Center,
part of the 32% owned Minneapolis joint venture property.  Partially offsetting
these increases to rental income was a decrease in rental income at Westpoint
Business Center and Plymouth Service Center (Minneapolis properties) due to a
decline in average occupancy.

For the six months ended June 30, 1998, approximately $5,000 of major repairs
and maintenance, comprised primarily of landscaping costs was included in
operating expense.  For the six months ended June 30, 1997, approximately
$35,000 of major repairs and maintenance, comprised primarily of landscaping,
parking lot repairs, and exterior painting costs, was included in operating
expense.

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.

Liquidity and Capital Resources

The Partnership held cash and cash equivalents of approximately $1,963,000 at
June 30, 1998 compared to approximately $1,957,000 at June 30, 1997.  The net
increase in cash and cash equivalents was approximately $74,000 and 28,000 for
the six months ended June 30, 1998 and 1997, respectively.  Net cash provided by
operating activities increased primarily due to the increase in net income, as
discussed above.  Net cash used in financing activities remained constant,
representing distributions paid to partners during each of the six month periods
ended June 30, 1998 and 1997.

The Partnership has no material capital programs scheduled to be performed in
1998, although certain routine capital expenditures and maintenance expenses
have been budgeted.

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 approximately $556,000 and $555,000 to the partners (including
approximately $6,000 and $5,000 to the general partner) during the six months
ended June 30, 1998 and 1997, respectively.  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 1998.  The level of such distributions will be contingent
upon successful future operations.  The Managing General Partner believes all of
the Partnership's investment properties have reached their peak in market
performance, and is currently evaluating the possibility of marketing the
properties for sale.  However, there can be no assurance that the Partnership
will be successful in its attempt to sell the properties.

Year 2000

The Partnership is dependent upon the Managing General Partner and Insignia for
management and administrative services.  Insignia has completed an assessment
and will have to modify or replace portions of its software so that its computer
systems will function properly with respect to dates in the year 2000 and
thereafter (the "Year 2000 Issue").  The project is estimated to be completed no
later than December 31, 1998, which is prior to any anticipated impact on its
operating systems.  The Managing General Partner believes that with
modifications to existing software and conversions to new software, the Year
2000 Issue will not pose significant operational problems for its computer
systems. However, if such modifications and conversions are not made, or are not
completed timely, the Year 2000 Issue could have a material impact on the
operations of the Partnership.

Other

Certain items discussed in this quarterly report may constitute forward-looking
statements within the meaning of the Private Securities Litigation Reform Act of
1995 (the "Reform Act") and as such may involve known and unknown risks,
uncertainties and other factors which may cause the actual results, performance
or achievements of the Partnership to be materially different from any future
results, performance or achievements expressed or implied by such forward-
looking statements.  Such forward-looking statements speak only as of the date
of this quarterly report.  The Partnership expressly disclaims any obligation or
undertaking to release publicly any updates or revisions to any forward-looking
statements contained herein to reflect any change in the Partnership's
expectations with regard thereto or any change in events, conditions or
circumstances on which any such statement is based.


                          PART II - OTHER INFORMATION


ITEM 1.   LEGAL PROCEEDINGS

In March 1998, several putative unit holders of limited partnership units of the
Partnership commenced an action entitled Rosalie Nuanes, et al. v. Insignia
Financial Group, Inc., et al. in the Superior Court of the State of California
for the County of San Mateo.  The plaintiffs named as defendants, among others,
the Partnership, the Managing General Partner and several of their affiliated
partnerships and corporate entities. The complaint purports to assert claims on
behalf of a class of limited partners and derivatively on behalf of a number of
limited partnerships which are named as nominal defendants, challenging the
acquisition by Insignia and its affiliates of interests in certain general
partner entities, past tender offers by Insignia affiliates to acquire limited
partnership units, the management of partnerships by Insignia affiliates as well
as a recently announced agreement between Insignia and AIMCO.  The complaint
seeks monetary damages and equitable relief, including judicial dissolution of
the Partnership.  On June 25, 1998, the Managing General Partner filed a motion
seeking dismissal of the action.  In lieu of responding to the motion, the
plaintiffs have filed an amended complaint.  The Managing General Partner
believes the action to be without merit, and intends to vigorously defend it.

The Partnership is unaware of any other pending or outstanding litigation that
is not of a routine nature.  The Managing General Partner of the Partnership
believes that all such other pending or outstanding litigation will be resolved
without a material adverse effect upon the business, financial condition or
operations of the Partnership.



ITEM 6.   EXHIBITS AND REPORTS ON FORM 8-K

      a)  Exhibits:

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

      b)  Reports on Form 8-K:

          None were filed for the quarter ended June 30, 1998.


                            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 12, 1998