NORWEST ASSET SECURITIES CORP
8-K, 1998-12-17
ASSET-BACKED SECURITIES
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                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM 8-K

                                 CURRENT REPORT

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



Date of Report: December 17, 1998
(Date of earliest event reported)

Commission File No. 333-65481



                      Norwest Asset Securities Corporation
- --------------------------------------------------------------------------------


     Delaware                                                       52-1972128
- --------------------------------------------------------------------------------
(State of Incorporation)                                     (I.R.S. Employer 
                                                             Identification No.)

7485 New Horizon Way
Frederick, Maryland                                        21703                
- --------------------------------------------------------------------------------
Address of principal executive offices                  (Zip Code)



                                 (301) 846-8881
- --------------------------------------------------------------------------------
               Registrant's Telephone Number, including area code



              (Former name, former address and former fiscal year,
                         if changed since last report)


<PAGE>


ITEM 5.    Other Events

     Attached as an exhibit are the  Computational  Materials (as defined in the
no-action  letter  dated May 21,  1994  issued by the  Securities  and  Exchange
Commission to Kidder,  Peabody Acceptance  Corporation-I,  Kidder, Peabody & Co.
Incorporated  and Kidder  Structured Asset  Corporation  (the "Kidder  Letter"))
prepared  by Credit  Suisse  First  Boston  Corporation  which are hereby  filed
pursuant to such letter.





<PAGE>


ITEM 7.    Financial Statements and Exhibits

     (c) Exhibits

Item 601(a)
of Regulation S-K
Exhibit No.                      Description
- -----------                      -----------
         (99)                    Computational Materials
                                 prepared by Credit Suisse
                                 First Boston Corporation in
                                 connection with Norwest
                                 Asset Securities Corporation,
                                 Mortgage Pass-
                                 Through Certificates, Series 1998-31


<PAGE>



     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 hereunto duly authorized.

                                           NORWEST ASSET SECURITIES CORPORATION


December 17, 1998

                                            By:          /s/ B. David Bialzak
                                                         --------------------
                                                           B. David Bialzak
                                                           Senior Vice President




<PAGE>



                                INDEX TO EXHIBITS


                                                                Paper (P) or
Exhibit No.             Description                             Electronic (E)
- -----------             -----------                             --------------

   (99)                 Computational Materials                        P
                        prepared by Credit Suisse First Boston
                        Corporation in connection with Norwest 
                        Asset Securities Corporation, 
                        Mortgage Pass-Through Certificates,
                        Series 1998-31



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