PROSPECTUS SUPPLEMENT NO.7  DATED SEPTEMBER 18, 1997        Pursuant to
(TO PROSPECTUS DATED SEPTEMBER 26, 1996)                 Rule 424(b)(3)
                                                     Reg. No. 333-11927



                              $115,000,000

                         POGO PRODUCING COMPANY

           5-1/2% Convertible Subordinated Notes due June 15, 2006
                                   and
             such Shares of Common Stock, par value $1 per share,
                   as are Issuable Upon Conversion Thereof
                       
         The following beneficial owner of 5-1/2% Convertible Subordinated
Notes due June 15, 1996 (the "Notes") of Pogo Producing Company (the 
"Company") has indicated that it wishes to register additional Notes which
it has acquired in transactions exempt from the Securities Act of 1933,
as amended, and has requested that the Company file a Prospectus Supplement 
updating the amount of of Notes which it holds and may offer for resale 
pursuant to the prospectus, as supplemented hereby. The information 
concerning such Selling Holder has been provided to the Company by such 
Selling Holder.

                                AGGREGATE ADDITIONAL    NUMBER OF SHARES OF
                               AMOUNT OF NOTES OWNED    COMMON STOCK OWNED 
                               BY THE SELLING HOLDER   BY THE SELLING HOLDER
                               AND WHICH ARE OFFERED   AND WHICH ARE OFFERED
NAME OF SELLING HOLDER                HEREBY                 HEREBY(11j)

Vanguard Convertible 
  Securities Fund, Inc.           $    335,000(11c)              7,941 
                                   -----------               ---------

          In addition, the following beneficial owners of Notes have 
indicated that they wish to register Notes that they have acquired in
transactions exempt from the Securities Act of 1933, as amended and desire
that the Company file a Prospectus Supplement naming them as Selling 
Holders in the prospectus, as supplemented hereby.  Information contained in
this supplement concerning each Selling Holder was provided to the Company 
by such Selling Holders.  

                               AGGREGATE PRINCIPAL      NUMBER OF SHARES OF
                               AMOUNT OF NOTES OWNED    COMMON STOCK OWNED BY
                               BY THE SELLING HOLDER    THE SELLING HOLDER AND
                               AND WHICH ARE OFFERED     WHICH ARE OFFERED
     NAME OF SELLING HOLDER          HEREBY                   HEREBY(11j)

Hughes Aircraft Company
  Master Retirement Trust         $    810,000(11o)             19,201

OCM Convertible Limited
  Partnership                           70,000(11o)              1,659

Partner Reinsurance Company 
  Ltd.                                 180,000(11o)              4,266          

    SUBTOTAL (This Supplement)....   1,395,000                  33,067
                                   -----------               ---------
    SUBTOTAL (All named Selling
     (Holders Through the date of
     this Prospectus Supplement).. 104,956,000               2,487,971
                                   -----------               ---------
Remaining unnamed holders of Notes
  or any future transferees, 
  pledgees, donees or successors of
  or from any such unnamed holder
  after giving effect to this
  Supplement to the Prospectus(15)  10,044,000                 238,094(16)
                                   -----------               ---------
    TOTAL.................        $115,000,000               2,726,065
                                   ===========               =========
___________________________
(11j)    Unless otherwise noted, the nature of the beneficial ownership is 
      sole voting and/or investment power.  Common Stock ownership assumes as 
      the conversion price, the initial conversion price of $42.185 per
      share of Common Stock (equivalent to a conversion rate of approximately
      23.7051 shares per $1000 principal amount of Notes), and a cash 
      payment in lieu of any fractional share interest.  Unless otherwise
      noted, no Selling Holder reported owning any shares of Common Stock
      other than those into which the Notes were convertible.

(11c)      The information with respect to this Selling Holder is true and
      complete as of September 11, 1997.  This Selling Holder was already 
      named in the Prospectus and has provided additional information 
      increasing the amount of Notes and number of shares of Common Stock 
      which are offered hereby by the respective amounts shown herein.

(11o)      The information with respect to this Selling Holder is true and
      complete as of September 12, 1997.

(15)     No such holder may offer Securities pursuant to the Registration 
      Statement of which this Prospectus forms a part until such holder 
      is included as a Selling Holder in a supplement to this Prospectus 
      in accordance with the Registration Rights Agreement.

(16)     Assumes that the unnamed holders of Notes or any future transferees, 
      pledgees, donees or successors of or from any such unnamed holder 
      does or do not beneficially own any Common Stock other than Common
      Stock issuable upon conversion of the Notes at the initial conversion
      rate set forth above.

        
        Additional Selling Holders or other information concerning the 
Selling Holders listed above may be set forth in subsequent Prospectus
Supplements from time to time.  


Date of this Supplement is:  September 18, 1997