SECURITIES AND EXCHANGE COMMISSION
                           WASHINGTON, D.C.  20549


                                FORM 10-K

(Mark One)

/ x / ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF
      THE SECURITIES EXCHANGE ACT OF 1934
      For the fiscal year ended December 31, 1999 or

/   / TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE
      SECURITIES EXCHANGE ACT OF 1934


      Commission File No.:   333-65481-23

               Norwest Asset Securities Corporation
           Mortgage Pass-Through Certificates
                  Series  1999-20       Trust
        (Exact name of registrant as specified in its charter)



New York                          52-2189490    52-2189497
(State or other jurisdiction       (I.R.S. Employer
 of incorporation or                Identification  No.)
 organization)

c/o Norwest Bank Minnesota, N.A.
11000 Broken Land Parkway
Columbia, Maryland                            21044
(Address of principal executive offices)     (ZIP Code)


Registrant's telephone number, including area code:
     (410) 884-2000

Securities to be registered pursuant to Section 12(b)
of the Act:

     NONE

Securities to be registered pursuant to Section 12(g)
of the Act:

     NONE

Indicate by check mark whether the registrant (1) has filed all
reports required to be filed by Section 13 or 15(d) of the
Securities Exchange Act of 1934 during the preceding 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 ___


Indicate by check mark if disclosure of delinquent filers pursuant
to item 405 of Regulation S-K is not contained herein, and will
not be contained, to the best of registrant's knowledge, in
definitive proxy or information statements incorporated by
reference in Part III of this Form 10-K or any amendment to this
Form 10-K.

     Not applicable


State the aggregate market value of the voting and non-voting
common equity held by non-affiliates of the registrant.  The ag-
gregate market value shall be computed by reference to the
price at which the common equity was sold, or the average bid
and asked prices of such common equity, as of a specified date
within 60 days prior to the date of filing.  (See definition of af-
filiate in Rule 12b-2 of the Exchange Act.)

     Not applicable

Indicate the number of shares outstanding of each of the
registrant's classes of common stock, as of the latest
practicable date.

     Not applicable


                                        Part I

Item 1.  Business.

         Omitted

Item 2.  Properties.

         See Item 14(a), Exhibits 99.1, 99.2, and 99.3, for
         information provided in lieu of information required by
         Item 102 of Regulation S-K.

Item 3.  Legal Proceedings.

         The registrant knows of no material pending legal
         proceedings involving the trusts created under the
         Pooling and Servicing Agreement (the Trusts), the
         Trustee, the Servicer or the registrant with respect to
         the Trusts other than routine litigation incidental to
         the duties of the respective parties.

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

         None


                             PART II

Item 5.  Market for Registrant's Common Equity and Related
         Stockholder Matters.

          No established public trading market for the
          Certificates exists.

          As of December 31, 1999, the number of holders of
          the publicly offered Certificates was  57

Item 6.  Selected Financial Data.

         Omitted

Item 7.  Management's Discussion and Analysis of Financial
         Condition and Results of Operations.

         Omitted

Item 8.  Financial Statements and Supplementary Data.

         See Item 14(a), Exhibits 99.1, 99.2, 99.3, for
         information provided in lieu of information required
         by Item 302 of Regulation S-K.

Item 9.  Changes in and Disagreements with Accountants on
         Accounting and Financial Disclosure.

         None.



                           PART III

Item 10.  Directors and Executive Officers of the Registrant.

          Not applicable.

Item 11.  Executive Compensation.

          Not applicable.

Item 12.  Security Ownership of Certain Beneficial Owners and
          Management.

          Not applicable.

Item 13.  Certain Relationships and Related Transactions.

          Not applicable.


                             PART IV

Item 14.  Exhibits, Financial Statement Schedules, and Reports
          on Form 8-K.

          (a) Exhibits

              (99.1) Annual Independent Accountants' Servicing
                     Reports concerning servicing activities for
                     the year ended December 31, 1999.

                     a)   BANK UNITED <F1>
                     b)   BEVERLY NATIONAL BANK <F1>
                     c)   COUNTRYWIDE FUNDING <F1>
                     d)   FT MTG COMPANIES <F1>
                     e)   HIBERNIA NATIONAL BANK <F1>
                     f)   HOMESIDE LENDING INC (FL) <F1>
                     g)   HSBC BANK, USA <F1>
                     h)   HUNTINGTON MTG CO <F1>
                     i)   MERRILL LYNCH CREDIT CORP <F1>
                     j)   MORGAN STANLEY DEAN WITTER <F1>
                     k)   NORWEST MTG INC <F1>
                     l)   SUN TRUST MTG INC <F1>

              (99.2) Report of Management as to Compliance with
                     Minimum Servicing Standards for the year
                     ended December 31, 1999

                     a)   BANK UNITED <F1>
                     b)   BEVERLY NATIONAL BANK <F1>
                     c)   COUNTRYWIDE FUNDING <F1>
                     d)   FT MTG COMPANIES <F1>
                     e)   HIBERNIA NATIONAL BANK <F1>
                     f)   HOMESIDE LENDING INC (FL) <F1>
                     g)   HSBC BANK, USA <F1>
                     h)   HUNTINGTON MTG CO <F1>
                     i)   MERRILL LYNCH CREDIT CORP <F1>
                     j)   MORGAN STANLEY DEAN WITTER <F1>
                     k)   NORWEST MTG INC <F1>
                     l)   SUN TRUST MTG INC <F1>

              (99.3) Annual Statements of Compliance under the
                     Pooling and Servicing Agreements for the
                     year ended December 31, 1999.

                     a)   BANK UNITED <F1>
                     b)   BEVERLY NATIONAL BANK <F1>
                     c)   COUNTRYWIDE FUNDING <F1>
                     d)   FT MTG COMPANIES <F1>
                     e)   HIBERNIA NATIONAL BANK <F1>
                     f)   HOMESIDE LENDING INC (FL) <F1>
                     g)   HSBC BANK, USA <F1>
                     h)   HUNTINGTON MTG CO <F1>
                     i)   MERRILL LYNCH CREDIT CORP <F1>
                     j)   MORGAN STANLEY DEAN WITTER <F1>
                     k)   NORWEST MTG INC <F1>
                     l)   SUN TRUST MTG INC <F1>

              (99.4) Aggregate Statement of Principal and
                     Interest Distributions to Certificate
                     Holders.

            (b)  On October 7, 1999, November 4, 1999, and
                 December 10, 1999,  reports on Form 8-K were filed
                 by the Company in order to provide the
                 statements for the monthly distributions to
                 holders of the Certificates.  No other reports on
                 Form 8-K have been filed during the last quarter
                 of the period covered by this report.

            (c)  Not applicable.

            (d)  Omitted.

<F1>  Such document (i) is not filed herewith since such document
was not received by the reporting person at least three business
days prior to the due date covered by this report:  and (ii) will
be included in an amendment to this report on Form 10-K/A to be
filed within 30 days of the Reporting Person's receipt of such
document.

                           SIGNATURES

Pursuant to the requirements of Section 13 or 15(d) 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:

 Norwest Asset Securities Corporation
 Mortgage Pass-Through Certificates
 Series  1999-20 Trust

Signed:   Norwest Bank Minnesota, N.A., as Master Servicer

By:   Sherri J. Sharps, Vice President
By:  /s/  Sherri J. Sharps, Vice President

Dated:  March 13, 2000



SUPPLEMENTAL INFORMATION TO BE FURNISHED WITH REPORTS FILED
PURSUANT TO SECTION 15(d) OF THE ACT BY REGISTRANTS WHICH HAVE NOT
REGISTERED SECURITIES PURSUANT TO SECTION 12 OF THE ACT.

(a)(i)   No annual report is provided to the Certificateholders
other than with respect to aggregate principal and interest
distributions.

(a)(ii)  No proxy statement, form of proxy or other proxy
soliciting material has been sent to any Certificateholder
with respect to any annual or other meeting of Certificateholders.