SECURITIES AND EXCHANGE COMMISSION
                              Washington, DC 20549



                                    FORM 8-K



                             Current Report Pursuant
                          to Section 13 or 15(d) of the
                         Securities Exchange Act of 1934



    Date of report (Date of earliest event reported)    September 16, 1998
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                               UNOCAL CORPORATION
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             (Exact name of registrant as specified in its charter)



                                    Delaware
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                 (State or Other Jurisdiction of Incorporation)



    1-8483                                   95-3825062
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(Commission File Number)                (I.R.S. Employer Identification No.)



2141 Rosecrans Avenue, Suite 4000, El Segundo, California         90245
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(Address of Principal Executive Offices)                       (Zip Code)



                                 (310) 726-7600
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              (Registrant's Telephone Number, Including Area Code)


Item 5.      Other Events.


GROWTH, THIRD QUARTER 1998 EARNINGS OUTLOOK, AND CAPITAL EXPENDITURES FORECAST

On September 29, 1998,  Unocal  Corporation  announced that it continues to make
progress on its long-term growth program despite depressed  near-term prices for
crude oil and natural gas.

Unocal has focused its growth efforts on exploration and production  projects in
the Gulf of Mexico and  Southeast  Asia. In addition,  Unocal is pursuing  other
high-value, market-to-resource project opportunities in key areas of growth.

Recently,  Unocal discovered two potentially significant new deepwater fields in
Indonesia,  and  additional  prospects  will be  explored on the  company's  2.1
million-acre Indonesian deepwater holdings.

Unocal's  Spirit  Energy 76 unit has recorded 24  discoveries  so far this year,
double the exploration  successes for all of 1997.  Unocal has positioned itself
in the  deepwater  Gulf of Mexico with  interests  in 196 blocks,  including  62
apparent high bids in the August lease sale.

While oil and gas  prices  are likely to remain  under  pressure  for some time,
Unocal believes its low-cost drilling and operating  capabilities will enable it
to weather a sustained  commodity price slump. The company's  aggressive  growth
program will result in increased  levels of  exploration  and dry hole expenses.
These higher expenses, when combined with current low commodity prices, serve to
depress current earnings.

For example,  Spirit Energy 76's estimated average natural gas price realization
was $1.58 per thousand cubic feet (mcf) for  September,  and about $1.98 per mcf
for the third  quarter,  8 percent below the second  quarter.  At the same time,
Spirit  Energy's  exploration  expense in the third  quarter is about 70 percent
above the second  quarter  level.  In  addition,  the recent  storms  have had a
significant impact on Unocal's production in the Gulf of Mexico.

The combined impact of low prices,  storms and higher  growth-related  expenses,
coupled  with lower  Diversified  Business  Group  earnings  and  increased  net
interest  expense,  will result in third  quarter 1998  adjusted  earnings  from
continuing operations below 10 cents per share, the low end of the current range
of analyst estimates. The adjusted earnings estimate excludes special items that
may be recorded in the quarter.

Unocal recorded  adjusted  earnings from  continuing  operations of 26 cents per
share  (diluted) in the second  quarter  1998.  The latest First Call  Corporate
Monitor analyst  estimates for Unocal's third quarter ranged from 10 to 25 cents
per share, with a consensus of 20 cents.  Unocal recorded adjusted earnings from
continuing  operations  of 38 cents per share  (diluted) in the third quarter of
1997.

Although  Unocal  currently  expects to have positive  earnings for the quarter,
extreme price volatility and timing of dry holes make it difficult to project an
exact  number.  While the company  cannot  control  prices,  it will continue to
aggressively lower costs.

The company's  third quarter 1998 earnings could also be affected by significant
dry hole expenses that might be recorded before the closing for the quarter.



The company  expects its 1998 capital  spending to total about $1.6 billion,  up
from an earlier forecast of $1.5 billion.  The higher capital spending  reflects
Unocal's recent successful bidding for offshore leases in the Gulf of Mexico and
development of international  growth projects.  The increase in capital spending
is  expected  to be  funded  from a  combination  of asset  sales  proceeds  and
increased debt.

Forward-looking  statements and estimates  regarding future earnings,  expenses,
and  capital  expenditures,  as  well  as  future  exploration  and  development
activities set forth above are based on assumptions concerning commodity prices,
regulatory actions, economic conditions, market conditions, operational concerns
and other considerations. Actual results could differ materially.

LEGAL PROCEEDING

The Office of the District Attorney of San Bernardino  County,  California,  has
recently  advised  Unocal's  Molycorp,  Inc.,  subsidiary  of the  suspension of
settlement  discussions  of a criminal  investigation  arising  from  wastewater
pipeline  incidents  which  occurred  in  1996  at  Molycorp's   Mountain  Pass,
California,  lanthanide facility.  The Office advised Molycorp that a grand jury
will be convened to investigate the matter and that two Molycorp  employees also
have been named as targets. To Molycorp's knowledge,  the grand jury has not yet
been convened.

NOMINATIONS AND OTHER PROPOSALS FOR 1999 ANNUAL MEETING OF STOCKHOLDERS

Attached as Exhibit 3 to this Report is a copy of  Unocal's  Bylaws,  as amended
September  16,  1998.  Section  7 of  Article  III of the  Bylaws,  as  amended,
generally  requires 90 days' advance notice of, and specified  information  with
respect to, nominations by stockholders of persons for election as directors and
other  business  proposed  to be  brought  before a  stockholders'  meeting by a
stockholder.

Unocal's 1999 Annual Meeting of  Stockholders is scheduled to be held on May 24,
1999.  Therefore,  advance  notice of  director  nominations  and  proposals  by
stockholders  intended to be  presented at the 1999 Annual  Meeting  (other than
proposals  which  stockholders  wish to include in the company's proxy statement
and  form of  proxy  pursuant  to Rule  14a-8  of the  Securities  and  Exchange
Commission (the "Commission")) must be delivered to Unocal's principal office in
El Segundo,  California,  to the  attention of the  Corporate  Secretary,  on or
before February 23, 1999, and contain the information  specified in Section 7 of
Article III of the Bylaws.

As previously  stated in Unocal's Proxy Statement for its 1998 Annual Meeting of
Stockholders,  stockholder  proposals for inclusion in Unocal's Proxy  Statement
and form of proxy for its 1999  Annual  Meeting,  pursuant  to Rule 14a-8 of the
Commission,  must be received by the Corporate  Secretary at Unocal's  principal
office in El Segundo, California, on or before December 21, 1998.


Item 7.      Financial Statements and Exhibits.

                  (c)      Exhibits

                   3       Bylaws of Unocal  Corporation,  as  amended September
                           16, 1998, and currently in effect.

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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.




                                          UNOCAL CORPORATION
                                             (Registrant)





Date:  September 29, 1998                 By: /s/ JOE D. CECIL
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                                              Joe D. Cecil
                                              Vice President and Comptroller


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