WITNESSETH THAT:

EXHIBIT 1.1(B)
NUVEEN TAX-FREE UNIT TRUST, SERIES 1090
TRUST INDENTURE AND AGREEMENT
DATED JUNE 16, 1999


    This Trust Indenture and Agreement by and between Xxxx Nuveen & Co.
Incorporated, as Depositor and The Chase Manhattan Bank, as Trustee, sets forth
certain provisions in full and incorporates other provisions by reference to the
document entitled "Standard Terms and Conditions of Trust for Nuveen Tax-Free
Unit Trust, Series 823 and subsequent Series, effective September 7, 1995"
(herein called the "Standard Terms and Conditions of Trust"), and such
provisions as are set forth in full and such provisions as are incorporated by
reference constitute a single instrument. All references herein to Articles and
Sections are to Articles and Sections of the Standard Terms and Conditions of
Trust.

                                WITNESSETH THAT:

    In consideration of the promises and of the mutual agreements herein
contained, the Depositor and the Trustee, agree as follows:

                                     PART I
                     STANDARD TERMS AND CONDITIONS OF TRUST

    Subject to the Provisions of Part II hereof, all the provisions contained in
the Standard Terms and Conditions of Trust are herein incorporated by reference
in their entirety and shall be deemed to be a part of this instrument as fully
and to the same extent as though said provisions had been set forth in full in
this instrument.

                                    PART II
                     SPECIAL TERMS AND CONDITIONS OF TRUST

    The following special terms and conditions are hereby agreed to:

    (a)  The Bonds defined in Section 1.01(1) listed in Schedule A hereto have
been deposited in trust under this Trust Indenture and Agreement.

    (b)  The fractional undivided interest in and ownership of the Trust Fund
represented by each Unit for a Trust on the Initial Date of Deposit is the
amount set forth under the captions "Essential Information -- Fractional
Undivided Interest in the Trust per Unit" in the Prospectus.

    (c)  The number of Units created of a Trust are as set forth under the
caption "Essential Information -- Number of Units" in the Prospectus for each
Trust.

    (d)  Notwithstanding anything to the contrary in the Standard Terms and
Conditions of Trust, the phrase "Nuveen Tax-Exempt Unit Trust" shall be hereby
replaced with the phrase "Nuveen Tax-Free Unit Trust."

    In Witness Whereof, Xxxx Nuveen & Co. Incorporated, has caused this Trust
Indenture and Agreement for Nuveen Tax-Free Unit Trust, Series 1090 to be
executed by its President, one of its Vice Presidents or one of its Assistant
Vice Presidents and its corporate seal to be hereto affixed and attested by its
Secretary or its Assistant Secretary and The Chase Manhattan Bank has caused
this Trust Indenture and Agreement to be executed by one of its Vice Presidents
or Second Vice Presidents and its corporate seal to be hereto affixed and
attested to by one of its Assistant Treasurers; all as of the day, month and
year first above written.

Xxxx Nuveen & Co. Incorporated,
Depositor
By Xxxx Xxxxxxxxx
Authorized Officer
(Seal)
Attest:
By Xxxxx X. Xxxxx
                   Assistant Secretary

The Chase Manhattan Bank, Trustee
By Xxxxxx Xxxxxx
Assistant Vice President
(Seal)
Attest:
By Xxxxxx X. Xxxx
                   Assistant Treasurer

                SCHEDULE A TO THE TRUST INDENTURE AND AGREEMENT
                         SECURITIES INITIALLY DEPOSITED
                                       IN
                    NUVEEN TAX-FREE UNIT TRUST, SERIES 1090

(Note:  Incorporated herein and made a part hereof is the "Schedule of
Investments" as set forth for each Trust in the Prospectus.)