Exhibit 5.1


                          [Letterhead of Dorsey & Whitney LLP]

                                   October 24, 1997



U.S. Bancorp
601 Second Avenue South
Minneapolis, Minnesota 55402-4302

    Re:  Registration Statement on Form S-4

Ladies and Gentlemen:

    We have acted as counsel to U.S. Bancorp, a Delaware corporation (the
"Company"), in connection with a Registration Statement on Form S-4 (the
"Registration Statement") relating to shares of the Company's common stock,
$1.25 par value (the "Common Stock"), to be issued in connection with the merger
(the "Merger") of Zappco, Inc., a Minnesota corporation, with and into the
Company, as described in the Proxy Statement/Prospectus (the "Proxy
Statement/Prospectus") constituting part of the Registration Statement.

    We have examined such documents and have reviewed such questions of law as
we have considered necessary and appropriate for the purposes of our opinions
set forth below.

    In rendering our opinions set forth below, we have assumed the authenticity
of all documents submitted to us as originals, the genuineness of all
signatures, and the conformity to authentic originals of all documents submitted
to us as copies.  We have also assumed the legal capacity for all purposes
relevant hereto of all natural persons and, with respect to all parties to
agreements or instruments relevant hereto other than the Company, that such
parties had the requisite power and authority (corporate or otherwise) to
execute, deliver and perform such agreements or instruments, that such
agreements or instruments have been duly authorized by all requisite action
(corporate or otherwise), executed and delivered by such parties, and that such
agreements or instruments are the valid, binding and enforceable obligations of
such parties.  As to questions of fact material to our opinions, we have relied
upon certificates of officers of the Company and of public officials.

    Based on the foregoing, we are of the opinion that the shares of the Common
Stock to be issued in connection with the Merger, when issued in accordance with




U.S. Bancorp
October 24, 1997
Page 2


the terms of the Merger Agreement (as defined in the Proxy
Statement/Prospectus), will be validly issued, fully paid and nonassessable.

    Our opinions expressed above are limited to the Delaware General
Corporation law.

    We hereby consent to your filing of this opinion as an exhibit to the
Registration Statement, and to the reference to this firm under the heading
"Legal Opinions" in the Proxy Statement/Prospectus.

                   Very truly yours,

                   /s/  Dorsey & Whitney LLP