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 0-14251

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

              Texas                                             76-0098582
 (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)

                       Registrant'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 II - 6, L.P.
BALANCE SHEET
-----------------------------------------------------------------------------

                                                                September 30,
ASSETS                                                               1995
                                                            -----------------
                                                                 (Unaudited)
CURRENT ASSETS:
<S>                                                         <C>           
  Cash                                                      $        6,009
  Accounts receivable - oil & gas sales                             15,744
  Other current assets                                                 480
                                                            ---------------

Total current assets                                                22,233
                                                            ---------------

OIL & GAS PROPERTIES
  (Successful efforts accounting method) - Proved
   mineral interests and related equipment & facilities          3,539,001
  Less  accumulated depreciation and depletion                   3,473,209
                                                            ---------------

Property, net                                                       65,792
                                                            ---------------

TOTAL                                                       $       88,025
                                                            ===============

LIABILITIES AND PARTNERS' CAPITAL  (DEFICIT)

CURRENT LIABILITIES:
   Accounts payable                                         $       16,276
   Payable to general partner                                       11,884
                                                            ---------------

Total current liabilities                                           28,160
                                                            ---------------

PARTNERS' CAPITAL (DEFICIT):
   Limited partners                                                 61,575
   General partner                                                  (1,710)
                                                            ---------------

Total partners' capital                                             59,865
                                                            ---------------

TOTAL                                                       $       88,025
                                                            ===============

Number of $500 Limited Partner units outstanding                    11,209
</TABLE>



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

                                       I-1

<PAGE>
<TABLE>
<CAPTION>
ENEX OIL & GAS INCOME PROGRAM II - 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                      $     (2,665)    $         13,055     $         19,887     $           40,694
                                      ----------------    -----------------    -----------------    -------------------

EXPENSES:
  Depreciation and depletion                     (224)               3,710                4,514                 11,336
  Lease operating expenses                      1,665                2,920                5,794                 11,917
  Production taxes                               (170)                 793                1,208                  2,275
  General and administrative                    4,457                4,259               18,892                 11,238
                                      ----------------    -----------------    -----------------    -------------------

Total expenses                                  5,728               11,682               30,408                 36,766
                                      ----------------    -----------------    -----------------    -------------------

INCOME (LOSS) FROM OPERATIONS                  (8,393)               1,373              (10,521)                 3,928
                                      ----------------    -----------------    -----------------    -------------------

OTHER INCOME (EXPENSE):
  Interest expense to general partner               -                  (27)                   -                   (313)
  Gain on sale of property                          -                    0               31,435                      -
                                      ----------------    -----------------    -----------------    -------------------

Other income (expense),  net                        -                  (27)              31,435                   (313)
                                      ----------------    -----------------    -----------------    -------------------


NET INCOME (LOSS)                       $      (8,393)    $          1,346     $         20,914     $            3,615
                                      ================    =================    =================    ===================

</TABLE>



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

                                       I-2

<PAGE>
<TABLE>
<CAPTION>
ENEX OIL AND GAS INCOME PROGRAM II - 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 income                                           $         20,914     $            3,615
                                                     -----------------    -------------------

Adjustments to reconcile net income to net cash
   provided by operating activities:
  Depreciation and depletion                                    4,514                 11,336
  Gain on sale of property                                    (31,435)                     -
(Increase) decrease in:
  Accounts receivable - oil & gas sales                         3,921                 (6,399)
  Other current assets                                            (14)                     -
Increase (decrease) in:
   Accounts payable                                               313
   Payable to general partner                                 (28,000)                 8,607
                                                     -----------------    -------------------

Total adjustments                                             (50,701)                13,544
                                                     -----------------    -------------------

Net cash provided by operating activities                     (29,787)                17,159
                                                     -----------------    -------------------

CASH FLOWS FROM INVESTING ACTIVITIES:
    Proceeds from sale of property                             31,435                      -
    Property (additions) credits - development costs              137                   (159)
                                                     -----------------    -------------------

Net cash provided (used) by investing activities               31,572                   (159)
                                                     -----------------    -------------------

CASH FLOWS FROM FINANCING ACTIVITIES:
   Repayment of note payable to general partner                     -                 (8,069)
                                                     -----------------    -------------------

NET INCREASE IN CASH                                            1,785                  8,931

CASH AT BEGINNING OF YEAR                                       4,224                    337
                                                     -----------------    -------------------

CASH AT END OF PERIOD                                $          6,009     $            9,268
                                                     =================    ===================

Cash paid during the period for interest             $              -     $              313
                                                     =================    ===================
</TABLE>




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

                                       I-3

<PAGE>

ENEX OIL & GAS INCOME PROGRAM II - 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.       In May,  1996,  the limited  partners of the Company voted to liquidate
         the Company upon the sale of its remaining oil and gas properties.  The
         pending  sale of the  Hanson  acquisition  was not  consummated  due to
         funding  problems  experienced  by the  potential  buyer.  The  General
         Partner of the Company  sought a suitable buyer of all of the Company's
         properties  during 1996. In November 1996, the Company's final property
         was sold. Final  distributions  will be made to the limited partners in
         the near future.


3.   Effective  May 1, 1996,  the  Company  sold its  interests  in the  Newport
     acquisition for $31,435. A gain of $31,435 was recognized on the sale.



                                       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  decreased to a negative  $2,665 in 1996
from $13,055 in 1995. This  represents a decrease of $15,720  (120%).  Oil sales
decreased by $7,516 or 114%. Gas sales decreased by $8,204 or 126%. The negative
oil and gas sales for the their  quarter  were  primarily  the result of an over
accrual for the second quarter 1996,  for  properties  that were sold during the
third quarter, but the sale was made effective May 1, 1996.

Lease operating  expenses for the third quarter decreased from $2,920 in 1995 to
$1,665 in 1996.  The decrease of $1,255 (75%) is primarily due to the changes in
production, noted above.

Depreciation  and  depletion  expense  decreased to a negative $224 in the third
quarter of 1996 from  $3,710 in the third  quarter of 1995.  This  represents  a
decrease of $3,934  (106%).  The  decrease is  primarily  due to the decrease in
production  as a result of an over accrual in the second  quarter 1996, as noted
above.

In August 1996, but effective May 1, 1996, the Company sold its interests in the
Newport acquisition for $31,435. A gain of $31,435 was recognized on the sale.

General and  administrative  expenses increased to $4,457 in 1996 from $4,259 in
1995.  This increase of $198 is primarily due to more 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  decreased  to $19,887 in 1996 from
$40,694  in 1995.  This  represents  a  decrease  of  $20,807  (51%).  Oil sales
decreased by $17,262 or 64%. A 69% decrease in oil  production  reduced sales by
$18,681.  This decrease was partially offset by a 3% increase in the average oil
sales  price.  Gas  sales  decreased  by $3,545 or 26%.  A 50%  decrease  in gas
production reduced sales by $6,802.  This decrease was partially offset by a 47%
increase in the average gas sales price. The production decreases were primarily
the result of the sale of the Newport acquisition effective May 1, 1996.

Lease operating  expenses for the first nine months  decreased to $5,794 in 1996
from  $11,917 in 1995.  The  decrease of $6,123  (51%) is  primarily  due to the
changes in production, noted above.


Depreciation and depletion  expense decreased to $4,514 in the first nine months
of 1996  from  $11,336  in the first  nine  months of 1995.  This  represents  a
decrease  of  $6,822  (60%).  A 1%  decrease  in the  depletion  rate  decreased
depreciation and depletion expense by $56. The changes

                                       I-5

<PAGE>



in production,  noted above,  decreased depreciation and depletion expense by an
additional  $6,766. The rate decrease was primarily a result of upward revisions
of the oil and gas reserves during December 1995.

Effective May 1, 1996, the Company sold its interests in the Newport acquisition
for $31,435. A gain of $31,435 was recognized on the sale.

General and administrative expenses increased to $18,892 in 1996 from $11,238 in
1995. This increase of $7,654 is primarily due to more staff time being required
to manage the Company's operations.


CAPITAL RESOURCES AND LIQUIDITY

The Company's cash flow from operations is a direct result of the amount and net
proceeds  realized  from the sale of oil and gas  production.  Accordingly,  the
changes in cash flow from 1995 to 1996 and  primarily  due to the changes in oil
and gas sales described above.

In May, 1996, the limited partners of the Company voted to liquidate the Company
upon the sale of its remaining oil and gas  properties.  The pending sale of the
Hanson  acquisition was not consummated due to funding  problems  experienced by
the potential  buyer. The General Partner of the Company sought a suitable buyer
of all of the Company's  properties during 1996. In November 1996, the Company's
final  property  was  sold.  Final  distributions  will be  made to the  limited
partners in the near future.

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-6

<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  hereunto duly
authorized.


                                            ENEX OIL & GAS INCOME
                                            PROGRAM II - 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>