United States
                     SECURITIES AND EXCHANGE COMMISSION
                           Washington, D.C. 20549


                                 FORM 10-QSB


            [X] QUARTERLY REPORT UNDER SECTION 13 OR 15(d) OF THE
                       SECURITIES EXCHANGE ACT OF 1934

             For the quarterly period ended September  30, 1996

                                     OR

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

       For the transition period from...............to...............

                       Commission file number 0-16574

             ENEX OIL & GAS INCOME PROGRAM III - SERIES 6, L.P.
      (Exact name of small business issuer as specified in its charter)

           New Jersey                                           76-0214443
 (State or other jurisdiction of                             (I.R.S. Employer
 incorporation or organization)                             Identification No.)

                       Suite 200, Three Kingwood Place
                            Kingwood, Texas 77339
                  (Address of principal executive offices)

                         Issuer's telephone number:
                               (713) 358-8401

         Check whether the issuer (1) filed all reports  required to be filed by
Section 13 or 15(d) of the  Exchange  Act during the past 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

Transitional Small Business Disclosure Format (Check one):

                                Yes        No x


<PAGE>


                              PART I. FINANCIAL INFORMATION

Item 1. Financial Statements
<TABLE>
<CAPTION>
ENEX OIL & GAS INCOME PROGRAM III - SERIES 6, L.P.
BALANCE SHEET
--------------------------------------------------------------------------------

                                                               September 30,
ASSETS                                                              1996
                                                           ---------------------
                                                                (Unaudited)
CURRENT ASSETS:
<S>                                                        <C>                 
  Accounts receivable - oil & gas sales                    $             38,873
  Other current assets                                                    3,490
                                                           ---------------------

Total current assets                                                     42,363
                                                           ---------------------

OIL & GAS PROPERTIES
  (Successful efforts accounting method) - Proved
   mineral interests and related equipment & facilities               2,738,816
  Less  accumulated depreciation and depletion                        2,504,457
                                                           ---------------------

Property, net                                                           234,359
                                                           ---------------------


TOTAL                                                      $            276,722
                                                           =====================

LIABILITIES AND PARTNERS' CAPITAL

CURRENT LIABILITIES:
   Accounts payable                                        $             33,765
   Payable to general partner                                            35,797
                                                           ---------------------

Total current liabilities                                                69,562
                                                           ---------------------

PARTNERS' CAPITAL:
   Limited partners                                                     140,580
   General partner                                                       66,580
                                                           ---------------------

Total partners'capital                                                  207,160
                                                           ---------------------

TOTAL                                                      $            276,722
                                                           =====================


Number of $500 Limited Partner units outstanding                          6,340
</TABLE>


See accompanying notes to financial statements.
--------------------------------------------------------------------------------


                                       I-1
<PAGE>
<TABLE>
<CAPTION>
ENEX OIL & GAS INCOME PROGRAM III - SERIES 6, L.P.
STATEMENTS OF OPERATIONS
------------------------------------------------------


(UNAUDITED)                                QUARTER ENDED                      NINE MONTHS ENDED
                                   -------------------------------------   -----------------------------------------

                                     September 30,       September 30,        September 30,         September 30,
                                          1996               1995                 1996                  1995
                                   -----------------  ------------------   ------------------   --------------------

REVENUES:
<S>                                <C>                <C>                  <C>                  <C>                
  Oil and gas sales                $         88,366   $          81,301    $         275,128    $           270,792
                                   -----------------  ------------------   ------------------   --------------------

EXPENSES:
  Depreciation and depletion                 21,498              38,683               60,356                113,580
  Impairment of property                          -                   -              194,403                      -
  Lease operating expenses                   40,668              46,949              133,820                142,973
  Production taxes                            5,118               4,521               16,439                 15,488
  General and administrative                  8,862              11,943               32,678                 42,256
                                   -----------------  ------------------   ------------------   --------------------

Total expenses                               76,146             102,096              437,696                314,297
                                   -----------------  ------------------   ------------------   --------------------

INCOME (LOSS) FROM OPERATIONS                12,220             (20,795)            (162,568)               (43,505)
                                   -----------------  ------------------   ------------------   --------------------

OTHER INCOME:
  Gain on sale of property                      441                   -               37,819                      -
                                   -----------------  ------------------   ------------------   --------------------

NET INCOME (LOSS)                  $         12,661   $         (20,795)   $        (124,749)   $           (43,505)
                                   =================  ==================   ==================   ====================
</TABLE>


See accompanying notes to financial statements.
----------------------------------------------------------------------

                                       I-2

<PAGE>
<TABLE>
<CAPTION>
ENEX OIL AND GAS INCOME PROGRAM III - SERIES 6, L.P.
STATEMENTS OF CASH FLOWS
-----------------------------------------------------------------------------------------------

(UNAUDITED)
                                                        NINE MONTHS ENDED
                                                     ------------------------------------------

                                                      September 30,            September 30,
                                                           1996                    1995
                                                   -------------------      -------------------
CASH FLOWS FROM OPERATING ACTIVITIES:
<S>                                                <C>                           <C>             
Net (loss)                                         $         (124,749)           $     (43,505)  
                                                   -------------------      -------------------

Adjustments to reconcile net (loss) to net cash
   provided (used) by operating activities:
  Depreciation, depletion and amortization                     60,356                  113,580
  Impairment of property                                      194,403
  Gain on sale of property                                    (37,819)
(Increase) decrease in:
  Accounts receivable - oil & gas sales                        (9,502)                   4,101
  Other current assets                                           (162)                  (1,033)
Increase (decrease) in:
   Accounts payable                                             4,417                   (4,487)
   Payable to general partner                                 (88,585)                  (9,575)
                                                   -------------------      -------------------

Total adjustments                                             123,108                  102,586
                                                   -------------------      -------------------

Net cash provided (used) by operating activities               (1,641)                  59,081
                                                   -------------------      -------------------

CASH FLOWS FROM INVESTING ACTIVITIES:
    Proceeds from sale of property                             52,366                        -
    Property additions - development costs                    (42,039)                  (7,226)
                                                   -------------------      -------------------

Net cash provided (used) by investing activities               10,327                   (7,226)
                                                   -------------------      -------------------

CASH FLOWS FROM FINANCING ACTIVITIES:
   Cash distributions                                         (14,191)                 (47,006)
                                                   -------------------      -------------------

NET INCREASE (DECREASE)  IN CASH                               (5,505)                   4,849

CASH AT BEGINNING OF YEAR                                       5,505                    3,248
                                                   -------------------      -------------------

CASH AT END OF PERIOD                              $                0           $        8,097   
                                                   ===================      ===================
</TABLE>



See accompanying notes to financial statements.
---------------------------------------------------------------------

                                       I-3

<PAGE>

ENEX OIL & GAS INCOME PROGRAM III - SERIES 6, L.P.

NOTES TO UNAUDITED FINANCIAL STATEMENTS

1.       The  interim  financial   information  included  herein  is  unaudited;
         however,  such information reflects all adjustments  (consisting solely
         of  normal  recurring   adjustments)  which  are,  in  the  opinion  of
         management,  necessary  for a fair  presentation  of  results  for  the
         interim periods.

2.   Effective  February  1, 1996,  the Company  sold its  interest in the Credo
     acquisition for $10,500.  The Company recognized a $656 gain from the sale.
     Effective  April 1, 1996, the Company sold its interest in the Kidd well in
     the Enexco  acquisition for $22,400.  The Company recognized a $21,253 gain
     from the sale.  Effective June 1,1996, the Company sold its interest in the
     Harper well in the RIC  acquisition for $19,466.  The Company  recognized a
     gain of $15,469 from the sale.  Effective  August 1, 1996, the Company sold
     its interest in the Spider Lake 3-2 well for $1,033. The Company recognized
     a gain of $441 from the sale.

3.       A cash  distribution was made to the limited partners of the Company in
         the amount of $10,378,  representing  net revenues from the sale of oil
         and  gas  produced  from   properties   owned  by  the  Company.   This
         distribution was made on July 31, 1996.

4.   On August 9, 1996,  the Company's  General  Partner  submitted  preliminary
     proxy  material to the  Securities  Exchange  Commission  with respect to a
     proposed  consolidation  of the  Company  with  33  other  managed  limited
     partnerships.   On  November  13,  1996,  the  Company  submitted   amended
     preliminary  proxy  material to the SEC with respect to this  consolidation
     The terms and  conditions  of the proposed  consolidation  are set forth in
     such preliminary proxy material.

5.   The Financial  Accounting Standards Board has issued Statement of Financial
     Accounting  Standard  ("SFAS") No. 121,  "Accounting  for the Impairment of
     Long-Lived  Assets  and for  Long-Lived  Assets to be  Disposed  Of," which
     requires  certain assets to be reviewed for impairment  whenever  events or
     circumstances indicate the carrying amount may not be recoverable. Prior to
     this pronouncement,  the Company assessed properties on an aggregate basis.
     Upon  adoption of SFAS 121, the Company  began  assessing  properties on an
     individual  basis,  wherein  total  capitalized  costs may not  exceed  the
     property's  fair market  value.  The fair market value of each property was
     determined by H. J. Gruy and  Associates,  ("Gruy").  To determine the fair
     market value, Gruy estimated each property's oil and gas reserves,  applied
     certain  assumptions  regarding price and cost  escalations,  applied a 10%
     discount factor for time and certain discount  factors for risk,  location,
     type   of   ownership   interest,   category   of   reserves,   operational
     characteristics,  and other  factors.  In the first  quarter  of 1996,  the
     Company recognized a non-cash impairment  provision of $194,403 for certain
     oil and gas properties due to market  indications that the carrying amounts
     were not fully recoverable.

                                       I-4

<PAGE>



Item 2.  Management's Discussion and Analysis or Plan of Operation.


Third Quarter 1995 Compared to Third Quarter 1996

Oil and gas sales for the third quarter increased to $88,366 in 1996 as compared
to $81,301 in 1995.  This  represents  an increase of $7,065 or (9%).  Oil sales
decreased by $49. A 27%  decrease in oil  production  reduced  sales by $16,403.
This  decrease was  partially  offset by a 36% increase in the average oil sales
price.  Gas sales  increased by $6,520 (33%).  A 46% increase in the average gas
sales price increased sales by $8,254.  This increase was partially offset by an
8%  decrease  in gas  production.  The  changes  in  the  average  sales  prices
correspond  with changes in the overall  market for the sale of oil and gas. The
decrease in oil production was primarily a result of natural production declines
coupled with the sale of the Credo acquisition in the first quarter of 1996.

Lease operating  expenses decreased to $40,668 in the third quarter of 1996 from
$46,949 in the third quarter of 1995.  The decrease of $6,281 (13%) is primarily
due to the changes in production, noted above.

Depreciation and depletion  expense decreased to $21,498 in the third quarter of
1996 from $38,683 in the third  quarter of 1995.  This  represents a decrease of
$17,185 (44%). The changes in production,  noted above,  caused depreciation and
depletion  expense to decrease by $8,112,  while a 30% decrease in the depletion
rate reduced  depreciation and depletion  expense by an additional  $9,073.  The
rate decrease was primarily due to the lower property  basis  resulting from the
recognition  of an  impairment  of property for $194,403 in the first quarter of
1996.

Effective  August 1, 1996 the Company  sold its  interest in the Spider Lake 3-2
well for $1,033. The Company recognized a gain of $441 from the sale.

General and administrative  expenses decreased to $8,862 in the third quarter of
1996 from $11,943 in the third quarter of 1995. This decrease of $3,081 (26%) is
primarily  due to less  staff  time  being  required  to  manage  the  Company's
operations.

First Nine Months in 1995 Compared to First Nine Months in 1996

Oil and gas sales for the first nine months  increased  to $275,128 in 1996 from
$270,792 in 1995. This represents a increase of $4,336 (1%). Oil sales decreased
by $7,979 (3%). A 16% decrease in oil production reduced sales by $31,936.  This
decrease was partially  offset by a 14% increase in the average oil sales price.
Gas sales  increased by $12,315  (18%).  A 36% increase in the average gas sales
price  increased sales by $21,343.  This increase was partially  offset by a 13%
decrease in gas production.  The changes in the average sales prices  correspond
with changes in the overall  market for the sale of oil and gas. The decrease in
oil production was primarily a result of natural  production  declines,  coupled
with the sale of the Credo acquisition in the first quarter of 1996 and the sale
of the Kidd well in the Enex  acquisition  in the fourth  quarter  of 1995.  The
decrease  in gas  production  was  primarily  a  result  of  natural  production
declines.

                                                      I-5

<PAGE>




Lease operating  expenses decreased to $133,820 in the first nine months of 1996
to  $142,973 in the first nine  months of 1995.  The  decrease of $9,153 (6%) is
primarily due to the changes in production, noted above.

Depreciation and depletion expense decreased to $60,356 in the first nine months
of 1996 from  $113,580  in the first  nine  months of 1995.  This  represents  a
decrease  of $53,224  (47%).  The changes in  production,  noted  above,  caused
depreciation and depletion expense to decrease by $17,801,  while a 37% decrease
in  the  depletion  rate  reduced  depreciation  and  depletion  expense  by  an
additional  $35,423.  The rate decrease was primarily due to the lower  property
basis  resulting from the  recognition of an impairment of property for $194,403
in the first quarter of 1996.

Effective  February  1,  1996,  the  Company  sold  its  interest  in the  Credo
acquisition  for  $10,500.  The  Company  recognized  a $656 gain from the sale.
Effective  April 1, 1996,  the Company sold its interest in the Kidd well in the
Enexco  acquisition for $22,400.  The Company recognized a $21,253 gain from the
sale.  Effective  June 1, 1996, the Company sold its interest in the Harper well
in the RIC  acquisition  for $19,466.  The Company  recognized a gain of $15,469
from the sale.  Effective  August 1. 1996 the Company  sold its  interest in the
Spider Lake 3-2 well for $1,033.  The Company recognized a gain of $441 from the
sale.

The  Financial  Accounting  Standards  Board has issued  Statement  of Financial
Accounting  Standard  ("SFAS")  No.  121,  "Accounting  for  the  Impairment  of
Long-Lived  Assets and for Long- Lived Assets to be Disposed Of," which requires
certain assets to be reviewed for impairment  whenever  events or  circumstances
indicate  the   carrying   amount  may  not  be   recoverable.   Prior  to  this
pronouncement,  the Company  assessed  properties  on an aggregate  basis.  Upon
adoption of SFAS 121, the Company  began  assessing  properties on an individual
basis, wherein total capitalized costs may not exceed the property's fair market
value.  The fair market value of each property was  determined by H. J. Gruy and
Associates,  ("Gruy").  To determine the fair market value,  Gruy estimated each
property's oil and gas reserves, applied certain assumptions regarding price and
cost  escalations,  applied a 10% discount factor for time and certain  discount
factors for risk,  location,  type of ownership interest,  category of reserves,
operational  characteristics,  and other factors.  In the first quarter of 1996,
the Company recognized a non-cash  impairment  provision of $194,403 for certain
oil and gas properties due to market  indications that the carrying amounts were
not fully recoverable.

On April 2, 1996, the Company settled a property  interest dispute on the Barnes
Estate acquisition.  In the settlement,  the Company agreed to pay $2,500 to the
plaintiff and convey 0.1%  overriding  royalty  interest in the Barnes Estate #1
and #2 wells.  Such conveyance  should not have a material impact on the current
or future revenues of the Company.

General  and  administrative  expenses  decreased  to  $32,678 in the first nine
months of 1996 from $42,256 in the first nine months of 1995.  This  decrease of
$9,578  (23%) is primarily  due to less staff time being  required to manage the
Company's operations.



                                                      I-6

<PAGE>




CAPITAL RESOURCES AND LIQUIDITY

The  Company's  cash  flow is a direct  result  of the  amount  of net  proceeds
realized from the sale of oil and gas  production  after the payment of its debt
obligations.  Accordingly,  the  changes  in cash  flow  from  1995 to 1996  are
primarily  due to the changes in oil and gas sales  described  above.  It is the
general  partner's  intention to distribute  substantially  all of the Company's
remaining  available  cash  flow  to  the  Company's  partners.   The  Company's
"available cash flow" is essentially equal to the net amount of cash provided by
operating activities.

The Company will continue to recover its reserves and  distribute to the limited
partners the net proceeds realized from the sale of oil and gas production after
the payment of its debt obligations.  Distribution amounts are subject to change
if net  revenues  are greater or less than  expected.  Nonetheless,  the general
partner  believes the Company will continue to have sufficient cash flow to fund
operations and to maintain a regular pattern of distributions.

On August 9, 1996, the Company's  General Partner  submitted  preliminary  proxy
material  to the  Securities  Exchange  Commission  with  respect  to a proposed
consolidation  of the Company with 33 other  managed  limited  partnerships.  On
November 13, 1996, the Company submitted  amended  preliminary proxy material to
the SEC with  respect  to this  consolidation. The  terms and  conditions of the
proposed consolidation are set forth in such preliminary proxy material.

As of September 30, 1996,  the Company had no material  commitments  for capital
expenditures.  The  Company  does  not  intend  to  engage  in  any  significant
developmental drilling activity.


                                       I-7

<PAGE>

                           PART II. OTHER INFORMATION


         Item 1.   Legal Proceedings.

                   None

         Item 2.   Changes in Securities.

                   None

         Item 3.   Defaults Upon Senior Securities.

                   Not Applicable

         Item 4.   Submission of Matters to a Vote of Security Holders.

                   Not Applicable

         Item 5.   Other Information.

                   Not Applicable

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

                   (a)  There are no exhibits to this report.

                   (b)   The  Company  filed no  reports  on Form 8-K during the
                         quarter ended September 30, 1996.


                                      II-1

<PAGE>



                                   SIGNATURES


         In accordance with the requirements of the Exchange Act, the registrant
caused this report to be signed on its behalf by the undersigned  thereunto duly
authorized.


                                               ENEX OIL & GAS INCOME
                                          PROGRAM III - SERIES 6, L.P.
                                                   (Registrant)



                                           By:ENEX RESOURCES CORPORATION
                                                  General Partner



                                           By: /s/ R. E. Densford
                                                   R. E. Densford
                                             Vice President, Secretary
                                           Treasurer and Chief Financial
                                                      Officer




November 13, 1996                           By: /s/ James A. Klein
                                               -------------------
                                                    James A. Klein
                                                Controller and Chief
                                                 Accounting Officer

<PAGE>