NATIONAL MUNICIPAL TRUST SERIES 129
485BPOS, 1997-01-22
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<PAGE>

As filed with the Securities and Exchange Commission on January 22, 1997
                                           Registration No. 33-36167*
==========================================================================
                    SECURITIES AND EXCHANGE COMMISSION
                          WASHINGTON, D.C. 20549
                            ___________________

                    POST-EFFECTIVE AMENDMENTS NO. 6 TO
                                 FORM S-6
                 FOR REGISTRATION UNDER THE SECURITIES ACT
                 OF 1933 OF SECURITIES OF UNIT INVESTMENT
                     TRUSTS REGISTERED ON FORM N-8B-2
                            ___________________

A.    Exact Name of Trust: 
                         NATIONAL MUNICIPAL TRUST,
                                Series 129
                           Multistate Series 32


B.    Name of depositor:
                    PRUDENTIAL SECURITIES INCORPORATED

C.    Complete address of depositor's principal executive office: 
                             One Seaport Plaza
                             199  Water Street
                         New York, New York 10292

D.    Name and complete address of agent for service: 
                                                   Copy to: 
       LEE B. SPENCER, JR., ESQ.             KENNETH W. ORCE, ESQ.
   PRUDENTIAL SECURITIES INCORPORATED       CAHILL GORDON & REINDEL
             One Seaport Plaza                  80 Pine Street
             199 Water Street              New York, New York 10005
          New York, New York 10292

It is proposed that this filing will become effective (check appropriate
box.)
 ___
/  / immediately upon filing on (date) pursuant to
      paragraph (b);
 ___
/X / on January 31, 1997 pursuant to paragraph (b);
 ___
/__/ 60 days after filing pursuant to paragraph (a);
 ___
/__/ on (date) pursuant to paragraph (a) of rule 485. 
_______________
*     This Registration Statement combines two Registration Statements
      (File Nos. 33-36054 and 33-36167) pursuant to Rule 429.

<PAGE>

 
CUSIPS: 63701H318R;63701H326R                                        MAIL CODE A
 
Prospectus--PART A
 
NOTE: PART A of this Prospectus may not be distributed unless accompanied by
Part B.
 
- --------------------------------------------------------------------------------
                                              NATIONAL MUNICIPAL TRUST
                                              Series 129
NMT                                           Multistate Series 32
- --------------------------------------------------------------------------------
 
The initial public offering of Units in each Trust has been completed. The Units
offered hereby are issued and outstanding Units which have been acquired by the
Sponsor either by purchase from the Trustee of Units tendered for redemption or
in the secondary market.
 
The objectives of each Trust are the providing of interest income which, in the
opinion of counsel is, under existing law, excludable from gross income for
Federal income tax purposes (except in certain instances depending on the Unit
Holder), through investment in a fixed portfolio consisting primarily of
long-term state, municipal and public authority debt obligations, and the
conservation of capital. In addition, in the opinion of bond counsel to the
issuers of the obligations, the interest income on the obligations held by the
underlying unit investment trusts composing Multistate Series 32 designated as
the California Trust (the ``California Trust'' or the ``State Trust'') (the
``Trust'' as the context requires), is exempt, to the extent indicated, from
state and any local income taxes to individual Unit Holders resident in the
State for which the State Trust is named. There is, of course, no guarantee that
the Trusts' objectives will be achieved. The value of the Units of each Trust
will fluctuate with the value of the portfolio of underlying Securities. The
Securities in the Trusts are not insured by The Prudential Insurance Company of
America. The Prospectus indicates the extent to which interest income of each
Trust is subject to alternative minimum tax under the Internal Revenue Code of
1986, as amended. See ``Schedule of Portfolio Securities'' and ``Portfolio
Summary.''
 
                            Minimum Purchase: 1 Unit
 
PUBLIC OFFERING PRICE of the Units of each Trust is equal to the aggregate bid
side evaluation of the underlying Securities in each Trust's Portfolio divided
by the number of Units outstanding in such Trust, plus a sales charge as set
forth in the table herein. (See Part B--``Public Offering of Units--Volume
Discount.'') Units are offered at the Public Offering Price plus accrued
interest. (See Part B--``Public Offering of Units.'')
 
- --------------------------------------------------------------------------------
Sponsor:
                                                  Prudential Securities (LOGO)
- --------------------------------------------------------------------------------
THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND
EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION NOR HAS THE SECURITIES 
AND EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION PASSED UPON THE 
ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY IS 
A CRIMINAL OFFENSE.
- --------------------------------------------------------------------------------
Please read and retain                                Prospectus dated
this Prospectus for future reference                  January 31, 1997


<PAGE>
 
                            NATIONAL MUNICIPAL TRUST
                                   Series 129
                              Multistate Series 32
- --------------------------------------------------------------------------------
                               TABLE OF CONTENTS
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                                      Page
<S>                                                                                        <C>       <C>
Summary.................................................................................   Part A      A-i
Summary of Essential Information........................................................              A-iv
Independent Auditors' Report............................................................               A-1
Statement of Financial Condition........................................................               A-2
Schedule of Portfolio Securities........................................................               A-7
The Trust...............................................................................   Part B        1
     Portfolio Summary..................................................................                 2
     Insurance on the Securities in the Portfolio of an Insured Trust--General..........                 9
     Insurance on the Securities in the Portfolio of an Insured Trust--Insurers.........                 9
     Objectives and Securities Selection................................................                14
     Estimated Annual Income Per Unit...................................................                14
Tax Status..............................................................................                15
Public Offering of Units................................................................                18
     Public Offering Price..............................................................                18
     Public Distribution................................................................                19
     Secondary Market...................................................................                20
     Sponsor's and Underwriters' Profits................................................                20
     Secondary Market Sales Charge......................................................                20
     Volume Discount....................................................................                21
     Employee Discount..................................................................                21
Exchange Option.........................................................................                21
     Tax Consequences...................................................................                23
Reinvestment Program....................................................................                23
Expenses and Charges....................................................................                23
     Expenses...........................................................................                23
     Fees...............................................................................                23
     Other Charges......................................................................                25
Rights of Unit Holders..................................................................                25
     Certificates.......................................................................                25
     Distribution of Interest and Principal.............................................                25
     Reports and Records................................................................                27
     Redemption.........................................................................                27
Sponsor.................................................................................                28
     Limitations on Liability...........................................................                29
     Responsibility.....................................................................                30
     Resignation........................................................................                30
Trustee.................................................................................                30
     Limitations on Liability...........................................................                31
     Responsibility.....................................................................                31
     Resignation........................................................................                31
Evaluator...............................................................................                31
     Limitations on Liability...........................................................                31
     Responsibility.....................................................................                31
     Resignation........................................................................                31
Amendment and Termination of the Indenture..............................................                32
     Amendment..........................................................................                32
     Termination........................................................................                32
Legal Opinions..........................................................................                32
Auditors................................................................................                32
Bond Ratings............................................................................                32
</TABLE>
 <PAGE>
<PAGE>
 
- --------------------------------------------------------------------------------
 
This Prospectus does not contain all of the information with respect to the
investment company set forth in its registration statement and exhibits relating
thereto which have been filed with the Securities and Exchange Commission,
Washington, D.C. under the Securities Act of 1933 and the Investment Company Act
of 1940, and to which reference is hereby made.
- --------------------------------------------------------------------------------
 
No person is authorized to give any information or to make any representations
with respect to this investment company not contained herein; and any
information or representations not contained herein must not be relied upon as
having been authorized. This Prospectus does not constitute an offer to sell, or
a solicitation of an offer to buy, securities in any state to any person to whom
it is not lawful to make such offer in such state.
- --------------------------------------------------------------------------------
 
                                    SUMMARY
 
    National Municipal Trust, Series 129 (``National Trust'') and Multistate
Series 32 which consists of one separate underlying unit investment trust
designated as the California Trust (the ``California Trust'' or the ``State
Trust'') (the ``Trusts'' or the ``Trust'' as the context requires) are composed
of interest-bearing municipal bonds (the ``Securities''). The Securities in the
State Trust are issued primarily by or on behalf of the State for which the
State Trust is named and counties, municipalities, authorities and political
subdivisions thereof. Interest on these bonds, in the opinion of bond counsel to
the issuing governmental authorities is, under existing law, excludable from
gross income for Federal income tax purposes (except in certain instances
depending on the Unit Holder) and, as respects the underlying State Trust,
exempt from State and any local income taxes to individual Unit Holders resident
in the State for which the State Trust is named.
 
    MONTHLY DISTRIBUTIONS of principal, premium, if any, and interest received
by each Trust will be made on or shortly after the twenty-fifth day of each
month to Unit Holders of record as of the immediately preceding Record Date.
(See Part B--``Rights of Unit Holders--Distribution of Interest and
Principal.'') Alternatively, Unit Holders may elect to have their distributions
reinvested in the Reinvestment Program of the Sponsor, as, if and when such
program is available to Unit Holders. (See Part B--``Reinvestment Program.'')
 
    THE SPONSOR, although not obligated to do so, presently intends to maintain
a secondary market for the Units in each Trust based on the aggregate bid side
evaluation of the underlying Securities, as more fully described under Part
B--``Public Offering of Units--Secondary Market--Public Offering Price.'' If
such a market is not maintained, a Unit Holder may be able to dispose of his
Units only through redemption at prices based on the aggregate bid side
evaluation of the underlying Securities. (See Part B--``Rights of Unit
Holders--Redemption--Computation of Redemption Price per Unit.'')
 
    SPECIAL CONSIDERATIONS. An investment in Units of each Trust should be made
with an understanding of the risks which an investment in fixed rate long-term
debt obligations may entail, including the risk that the value of the Units will
decline with increases in interest rates. (See Part B--``The Trust--Portfolio
Summary.'') The ratings of the Securities set forth in Part A--``Schedule of
Portfolio Securities'' may have declined due to, among other factors,
a decline in the creditworthiness of the issuer of said Securities.
 
    The California Trust holds certain bonds issued by the County of Orange,
California. On December 6, 1994, the County of Orange commenced a voluntary
bankruptcy case under chapter 9 of the United States Bankruptcy Code in the
United States Bankruptcy Court for the Central District of California. Pending
the bankruptcy court's determination of any challenge to the bankruptcy filing,
actions or proceedings to enforce claims and invoke remedies under the bonds
against the County of Orange are stayed. If the bankruptcy case is not
dismissed, actions, proceedings and remedies of bondholders will continue to be
stayed pending approval and consummation of a plan of adjustment for the County
of Orange, interest, principal, sinking fund and other payments by the County of
Orange under the bonds may be wholly or partially suspended or deferred and
interest may be deemed not to accrue under the bonds during the pendency of the
bankruptcy case. Any plan of adjustment approved by the bankruptcy court may
result in the impairment or alteration of the terms of the bonds and the rights
of bondholders under the bond indentures, including, potentially, extensions of
maturities, reductions in principal amounts, and reductions in interest
payments.
 
    The California Trust holds bonds issued by certain California municipalities
that are believed to have been participants in investment funds managed by the
County of Orange, California. On December 6, 1994, after reports of losses
suffered by such investment funds, the County of Orange filed municipal
bankruptcy petitions under Chapter 9 of the

                                      A-i
 <PAGE>
<PAGE>

United States Bankruptcy Code in the United States Bankruptcy Court for the
Central District of California, both for itself and for the ``Orange County
Investment Pools'' as a separate municipal entity. The commencement of the
bankruptcy cases may be challenged by other parties, but unless and until the
bankruptcy cases are dismissed, the participants in the investment funds are
expected to be stayed from taking action to withdraw or obtain possession of
their shares of the managed investment funds without leave of the bankruptcy
court. In addition, a plan of adjustment may be approved by the bankruptcy court
that impairs the rights or interests of participants in the investment funds. As
a result of the bankruptcy cases and the losses reported to have been incurred
by the investment funds, participants with a substantial portion of their
resources invested in funds managed by the County of Orange may suffer a loss of
liquidity or cash shortage which could result in their inability to make debt
service payments in a timely manner.
 
    As a result of Orange County's bankruptcy filing, Moody's has suspended the
County's bond ratings, and Standard & Poor's has cut its rating of all Orange
County debt from ``AA-'' to ``CCC,'' a level below investment grade and an
indication of high risk and uncertainty. The County's bankruptcy filing could
affect about 180 municipalities, school districts, and other municipal entities
which entrusted billions of dollars to Orange County to invest. Standard &
Poor's has informed such entities that they have been placed on negative credit
watch, the usual step prior to a downgrade of credit rating.
 
    The Sponsor cannot predict at this time whether and in what amounts future
interest and principal payments will be made in respect of the bonds or whether
the California Trust will dispose of the bonds, which disposition may result in
a loss to Unitholders.
 
    `Note: The seventh paragraph on page B-7 in Part B is amended to delete such
paragraph and replace it with the following:
 
    The Puerto Rican economy is affected by a number of Commonwealth and Federal
investment incentive programs. For example, prior to 1996, Section 936 of the
Internal Revenue Code generally provided deferral of Federal income taxes for
U.S. companies operating on the island until profits are repatriated. Section
936 was repealed by the Small Business Job Protection Act of 1996. It is
expected that the repeal of Section 936 will have a strongly negative impact on
Puerto Rico's economy.
 
    Note: In Part B ``Rights of Unit Holders--Distribution of Interest and
Principal,'' the Minimum Principal Distribution Amount is amended to read $1.00
per Unit.
 
    Note: In Part B ``Trustee'' the location of the unit investment trust office
of The Chase Manhattan Bank is amended to read 4 New York Plaza, New York, New
York 10004.
 
Portfolio Summary
 
   National Trust
 
    The Portfolio contains 12 issues of Securities of issuers located in 8
states and The Commonwealth of Puerto Rico. All of the issues are payable from
the income of specific projects or authorities and are not supported by the
issuer's power to levy taxes. Although income to pay such Securities may be
derived from more than one source, the primary sources of such income and the
percentage of issues deriving income from such sources are as follows: airport
facilities: 10.0%* of the Trust; health and hospital facilities: 37.7%* of the
Trust; housing facilities: 15.1%* of the Trust; power facilities: 22.9%* of the
Trust; water and sewer facilities: 13.0%* of the Trust; miscellaneous: 1.3%* of
the Trust. The Trust is concentrated in health and hospital facilities
Securities.
 
    The Portfolio also contains Securities representing 15.1%* of the Trust
(single-family housing securities) which are subject to the requirements of
Section 103A of the Internal Revenue Code of 1954, as amended, or Section 143 
of the Internal Revenue Code of 1986.
 
    Approximately 15.1%* of the Securities in the Trust also contain provisions
which require the issuer to redeem such obligations at par from unused proceeds
of the issue within a stated period which typically does not exceed three years
from the date of issuance of such Securities.
 
    57.4%* of the Securities in the Trust are rated by Standard & Poor's
Corporation (25.1%* being rated AAA, 5.2%* being rated AA, 3.4%* being rated A,
13.7%* being rated BBB and 10.0%* being rated BB) and 17.3%* of the Securities
in the Trust are rated by Moody's Investors Service (9.9%* being rated Aa and
7.4%* being rated A) and 25.3%* of the Securities in the Trust are not rated.
For a description of the meaning of the applicable rating symbols as published
by Standard & Poor's and Moody's, see Part B--``Bond Ratings.'' It should be
emphasized, however, that the
- ------------
    * Percentages computed on the basis of the aggregate bid price of the
Securities in the Trust on December 26, 1996.
 
                                      A-ii
 <PAGE>
<PAGE>

ratings of Standard & Poor's and Moody's represent their opinions as to the
quality of the Securities which they undertake to rate and that these ratings
are general and are not absolute standards of quality.
 
    Four Securities in the Trust have been issued with an ``original issue
discount.'' (See Part B--``Tax Status.'')
 
    Of these original issue discount bonds, approximately 4.4% of the aggregate
principal amount of the Securities in the Trust (although only 1.3%* of the
aggregate bid price of all Securities in the Trust) are zero coupon bonds
(including bonds known as multiplier bonds, money multiplier bonds, capital
appreciation bonds, capital accumulator bonds, compound interest bonds, and
discount maturity payment bonds).
 
   Alternative Minimum Tax
 
    As of the date of the Summary of Essential Information, the Sponsor's
affiliate, The Prudential Investment Corporation, estimates that 26.6% of the
estimated annual income per Unit consists of interest on private activity bonds,
which interest is to be treated as a tax preference item for alternative minimum
tax purposes (see ``Tax Status'' and ``Schedule of Portfolio Securities'').
 
    The Sponsor participated as sole underwriter or manager or member of
underwriting syndicates from which approximately 14.3%* of the Trust was
acquired.
 
California Trust
 
    The Portfolio contains 8 issues of Securities of issuers located in the
State of California. One of the issues (4.0%* of the Trust) is a general
obligation of a governmental entity and is backed by the general taxing powers
of that entity. The remaining issues are payable from the income of specific
projects or authorities and are not supported by the issuer's power to levy
taxes. Although income to pay such Securities may be derived from more than one
source, the primary sources of such income and the percentage of issues deriving
income from such sources are as follows: health and hospital facilities: 62.4%*
of the Trust; housing facilities: 18.3%* of the Trust; tax allocation revenue
bonds: 15.3%* of the Trust. The Trust is concentrated in health and hospital
facilities Securities.
 
    The Portfolio also contains Securities representing 23.9%* of the Trust
(single-family housing securities) which are subject to the requirements of
Section 103A of the Internal Revenue Code of 1954, as amended, or Section 143 
of the Internal Revenue Code.
 
    Approximately 23.9%* of the Securities in the Trust also contain provisions
which require the issuer to redeem such obligations at par from unused proceeds
of the issue within a stated period which typically does not exceed three years
from the date of issuance of such Securities.
 
    77.7%* of the Securities in the Trust are rated by Standard & Poor's
Corporation (68.0%* being rated A, 3.0%* being rated BBB, 6.7%* being rated BB)
and 18.3%* of the Securities in the Trust are rated Aa by Moody's Investors
Service and 4.0%* of the Securities in the Trust are not rated. For a
description of the meaning of the applicable rating symbols as published by
Standard & Poor's and Moody's, see Part B--``Bond Ratings.'' It should be
emphasized, however, that the ratings of Standard & Poor's and Moody's represent
their opinions as to the quality of the Securities which they undertake to rate
and that these ratings are general and are not absolute standards of quality,
 
    Three Securities in the Trust have been issued with an ``original issue
discount.'' (See Part B--``Tax Status.'')
 
    Of these original issue discount bonds, approximately 8.3% of the aggregate
principal amount of the Securities in the Trust (although only 4.0%* of the
aggregate bid price of all Securities in the Trust) are zero coupon bonds
(including bonds known as multiplier bonds, money multiplier bonds, capital
appreciation bonds, capital accumulator bonds, compound interest bonds, and
discount maturity payment bonds).
 
   Alternative Minimum Tax
 
    As of the date of the Summary of Essential Information, the Sponsor's
affiliate, The Prudential Investment Corporation, estimates that 19.8% of the
estimated annual income per Unit consists of interest on private activity bonds,
which interest is to be treated as a tax preference item for alternative minimum
tax purposes (see ``Tax Status'' and ``Schedule of Portfolio Securities'').
 
    The Sponsor participated as sole underwriter or manager or member of
underwriting syndicates from which approximately 20.9%* of the Trust was
acquired.
- ------------
    * Percentages computed on the basis of the aggregate bid price of the
Securities in the Trust on December 26, 1996.
 
                                     A-iii
 <PAGE>
<PAGE>
 
                        SUMMARY OF ESSENTIAL INFORMATION
 
                            NATIONAL MUNICIPAL TRUST
                                   SERIES 129
                            As of December 26, 1996
 
<TABLE>
<S>                                                <C>
FACE AMOUNT OF SECURITIES......................... $ 8,190,000.00
NUMBER OF UNITS...................................          9,584
FRACTIONAL UNDIVIDED INTEREST IN THE TRUST
  REPRESENTED BY EACH UNIT........................      1/9,584th
PUBLIC OFFERING PRICE
  Aggregate bid side evaluation of Securities in
    the Trust..................................... $ 8,592,159.41
  Divided by 9,584 Units.......................... $       896.51
  Plus sales charge of 3.893% of Public Offering
    Price (4.051% of net amount invested in
    Securities)................................... $        36.32
                                                   --------------
  Public Offering Price per Unit(2)(4)............ $       932.83
                                                   --------------
                                                   --------------
REDEMPTION PRICE AND SPONSOR'S REPURCHASE PRICE
  PER UNIT (based on bid side evaluation of
  underlying Securities, $36.32 less than Public
  Offering Price per Unit)(4)..................... $       896.51
                                                   --------------
                                                   --------------
MINIMUM PRINCIPAL DISTRIBUTION: No distribution need be made from
  the Principal Account if the balance therein is less than $1
  per Unit.
SPONSOR'S ANNUAL PORTFOLIO SUPERVISION FEE: Maximum $.25 per
  $1,000 face amount of underlying Securities.
PREMIUM AND DISCOUNT ISSUES IN PORTFOLIO:
  Face amount of Securities with bid side evaluation:
  over par--95.1%; at par--0.5%; at a discount from par--4.4%
EVALUATOR'S FEE FOR EACH EVALUATION: Maximum of $14.
EVALUATION TIME: 3:30 P.M. New York time
MANDATORY TERMINATION DATE: November 1, 2040
MINIMUM VALUE OF TRUST: The Trust may be terminated if the value
  of the Trust is less than $4,000,000.
Percentage of Unit Holders required to consent in order to amend
  (as permitted) the Trust Indenture and Agreement (except under
  certain circumstances when Unit Holder consent is not
  required).................................................. 51%
Percentage of Unit Holders required to consent in order to
  terminate the Trust........................................ 51%
DATE OF DEPOSIT: October 9, 1990(1)
</TABLE>
 
<TABLE>
<CAPTION>
                                                                                                    Monthly
                                                                                                    -------
<S>                                                                                                 <C>
CALCULATION OF ESTIMATED NET ANNUAL INCOME PER UNIT
  Estimated Annual Income per Unit...............................................................   $64.33
  Less estimated annual expenses per Unit(3).....................................................    (1.49)
                                                                                                    -------
  Estimated Net Annual Income per Unit...........................................................   $62.84
                                                                                                    -------
                                                                                                    -------
Trustee's Annual Fee per $1,000 principal amount of underlying Securities........................   $ 1.05
Daily Rate of Income Accrual per Unit............................................................   $.1746
Estimated Current Return (based on Public Offering Price)(5)(6)..................................     6.74%
Estimated Long-Term Return(6)....................................................................    4.137%
INTEREST DISTRIBUTION
  Estimated Net Annual Income per Unit / 12......................................................   $ 5.23
Record Dates--Monthly: tenth day of each month
Distribution Dates--Monthly: twenty-fifth day of each month
</TABLE>
- ------------
    (1) The Date of Deposit is the date on which the Indenture was signed and
the deposit of Securities with the Trustee was made.
    (2) This Public Offering Price is computed as of December 26, 1996 and may
vary from the Public Offering Price on the date of this Prospectus or any
subsequent date.
    (3) Includes Trustee's fee, Sponsor's Portfolio supervision fee, estimated
expenses and Evaluator's fees.
    (4) Exclusive of accrued interest which to December 31, 1996, the expected
date of settlement for the purchase of Units on December 26, 1996 was $17.56.
    (5) The estimated current return is increased for transactions entitled to a
reduced sales charge. (See Part B--``The Trust''--``Estimated Annual Income and
Current Return per Unit.'')
    (6) The Estimated Current Return is calculated by dividing the Estimated Net
Annual Income per Unit by the Public Offering Price per Unit. The Estimated Net
Annual Income per Unit will vary with changes in fees and expenses of the
Trustee and the Evaluator and with the principal prepayment, redemption,
maturity, exchange or sale of Securities while the Public Offering Price will
vary with changes in the bid price of the underlying Securities; therefore,
there is no assurance that the present Estimated Current Return indicated above
will be realized in the future. The Estimated Long-Term Return is calculated on
a pre-tax basis using a formula which takes into consideration, and factors in
the relative weightings of, the market values, yields (which takes into account
the amortization of premiums and the accretion of discounts) and estimated
retirements of all of the Securities in the Trust and takes into account the
expenses and sales charge associated with each Unit. Since the market values and
estimated retirements of the Securities and the expenses of the Trust will
change, there is no assurance that the present Estimated Long-Term Return as
indicated above will be realized in the future. The after-tax Estimated
Long-Term Return will be lower to the extent of any taxation on the disposition
of Securities. The Estimated Current Return and Estimated Long-Term Return are
expected to differ because the calculation of the Estimated Long-Term Return
reflects the estimated date and amount of principal returned while the Estimated
Current Return calculations include only Net Annual Interest Income and Public
Offering Price as of the above indicated calculation date of the Summary of
Essential Information.
                                      A-iv
 <PAGE>
<PAGE>
 
                        SUMMARY OF ESSENTIAL INFORMATION
 
                            NATIONAL MUNICIPAL TRUST
                              MULTISTATE SERIES 32
                                CALIFORNIA TRUST
                            As of December 26, 1996
 
<TABLE>
<S>                                                 <C>
FACE AMOUNT OF SECURITIES.......................... $1,510,000.00
NUMBER OF UNITS....................................         2,105
FRACTIONAL UNDIVIDED INTEREST IN THE TRUST
  REPRESENTED BY EACH UNIT.........................     1/2,105th
PUBLIC OFFERING PRICE
  Aggregate bid side evaluation of Securities in
    the Trust...................................... $1,530,214.12
  Divided by 2,105 Units........................... $      726.94
  Plus sales charge of 5.170% of Public Offering
    Price (5.451% of net amount invested in
    Securities).................................... $       39.63
                                                    -------------
  Public Offering Price per Unit(2)(4)............. $      766.57
                                                    -------------
                                                    -------------
REDEMPTION PRICE AND SPONSOR'S REPURCHASE PRICE PER
  UNIT (based on bid side evaluation of underlying
  Securities, $39.63 less than Public Offering
  Price per Unit)(4)............................... $      726.94
                                                    -------------
                                                    -------------
MINIMUM PRINCIPAL DISTRIBUTION: No distribution need be made from
  the Principal Account if the balance therein is less than $1
  per Unit.
SPONSOR'S ANNUAL PORTFOLIO SUPERVISION FEE: Maximum $.25 per
  $1,000 face amount of underlying Securities.
PREMIUM AND DISCOUNT ISSUES IN PORTFOLIO:
  Face amount of Securities with bid side evaluation:
  over par--91.7%; at par--0.0%; at a discount from par--8.3%
EVALUATOR'S FEE FOR EACH EVALUATION: Maximum of $14.
EVALUATION TIME: 3:30 P.M. New York time
MANDATORY TERMINATION DATE: November 1, 2040
MINIMUM VALUE OF TRUST: The Trust may be terminated if the value
  of the Trust is less than $1,200,000.
Percentage of Unit Holders required to consent in order to amend
  (as permitted) the Trust Indenture and Agreement (except under
  certain circumstances when Unit Holder consent is not
  required).................................................. 51%
Percentage of Unit Holders required to consent in order to
  terminate the Trust........................................ 51%
DATE OF DEPOSIT: October 9, 1990(1)
</TABLE>
 
<TABLE>
<CAPTION>
                                                                                                    Monthly
                                                                                                    -------
<S>                                                                                                 <C>
CALCULATION OF ESTIMATED NET ANNUAL INCOME PER UNIT
  Estimated Annual Income per Unit...............................................................   $49.37
  Less estimated annual expenses per Unit(3).....................................................    (2.03)
                                                                                                    -------
  Estimated Net Annual Income per Unit...........................................................   $47.34
                                                                                                    -------
                                                                                                    -------
Trustee's Annual Fee per $1,000 principal amount of underlying Securities........................   $ 1.05
Daily Rate of Income Accrual per Unit............................................................   $.1315
Estimated Current Return (based on Public Offering Price)(5)(6)..................................     6.18%
Estimated Long-Term Return(6)....................................................................    4.215%
INTEREST DISTRIBUTION
  Estimated Net Annual Income per Unit / 12......................................................   $ 3.94
Record Dates--Monthly: tenth day of each month
Distribution Dates--Monthly: twenty-fifth day of each month
</TABLE>
- ------------
    (1) The Date of Deposit is the date on which the Indenture was signed and
the deposit of Securities with the Trustee was made.
    (2) This Public Offering Price is computed as of December 26, 1996 and may
vary from the Public Offering Price on the date of this Prospectus or any
subsequent date.
    (3) Includes Trustee's fee, Sponsor's Portfolio supervision fee, estimated
expenses and Evaluator's fees.
    (4) Exclusive of accrued interest which to December 31, 1996, the expected
date of settlement for the purchase of Units on December 26, 1996 was $13.80.
    (5) The estimated current return is increased for transactions entitled to a
reduced sales charge. (See Part B--``The Trust''--``Estimated Annual Income and
Current Return per Unit.'')
    (6) The Estimated Current Return is calculated by dividing the Estimated Net
Annual Income per Unit by the Public Offering Price per Unit. The Estimated Net
Annual Income per Unit will vary with changes in fees and expenses of the
Trustee and the Evaluator and with the principal prepayment, redemption,
maturity, exchange or sale of Securities while the Public Offering Price will
vary with changes in the bid price of the underlying Securities; therefore,
there is no assurance that the present Estimated Current Return indicated above
will be realized in the future. The Estimated Long-Term Return is calculated on
a pre-tax basis using a formula which takes into consideration, and factors in
the relative weightings of, the market values, yields (which takes into account
the amortization of premiums and the accretion of discounts) and estimated
retirements of all of the Securities in the Trust and takes into account the
expenses and sales charge associated with each Unit. Since the market values and
estimated retirements of the Securities and the expenses of the Trust will
change, there is no assurance that the present Estimated Long-Term Return as
indicated above will be realized in the future. The after-tax Estimated
Long-Term Return will be lower to the extent of any taxation on the disposition
of Securities. The Estimated Current Return and Estimated Long-Term Return are
expected to differ because the calculation of the Estimated Long-Term Return
reflects the estimated date and amount of principal returned while the Estimated
Current Return calculations include only Net Annual Interest Income and Public
Offering Price as of the above indicated calculation date of the Summary of
Essential Information.
                                      A-v
 <PAGE>
<PAGE>
 
Risk Factors
 
    Potential purchasers of the Units of a State Trust should consider the fact
that the Trust's Portfolio consists primarily of Securities issued by the state
for which such State Trust is named or its municipalities or authorities and
realize the substantial risks associated with an investment in such Securities.
Each State Trust is subject to certain additional risk factors:
 
    The Sponsor believes the information summarized below describes some of the
more significant aspects of each of the State Trust. The sources of such
information are the official statements of issuers as well as other publicly
available documents. While the Sponsor has not independently verified this
information, it has no reason to believe that such information is not correct 
in all material respects.
 
California Trust
 
    Since the start of the 1990-91 fiscal year, California (the ``State'') has
faced the worst economic, fiscal and budget conditions since the 1930s.
Construction, manufacturing (especially aerospace), exports and financial
services, among others, have all been severely affected. Job losses have been
the worst of any post-war recession and have been estimated to exceed 800,000.
While the most severe point of the recession has been estimated to have occurred
in late 1993, pre-recession job levels are not expected to be reached for
several more years.
 
    The recession has affected State tax revenues, which mirror economic
conditions. It has also caused increased expenditures for health and welfare
programs. The State has also been facing a structural imbalance in its budget
with the largest programs supported by the General Fund (K-12 schools and
community colleges, health, welfare and corrections) growing at rates higher
than the growth rates for the principal revenue sources of the General Fund.
(The General Fund, the State's main operating fund, consists of revenues which
are not required to be credited to any other fund.) As a result, the State has
experienced recurring budget deficits.
 
    Employment, income, and retail sales in the State have shown modest
increases over the past two years, indicating some recovery from recessionary
conditions. These increases notwithstanding, pre-recession job levels are not
expected to be reached until 1997.
 
    Together with the federal government, which is providing over $9.5 billion
in aid, the State is committed to assisting local governments, individuals and
businesses suffering damage caused by the Northridge earthquake, as well as to
assisting in the repair and replacement of State-owned facilities.
 
    On December 6, 1994, Orange County, California (the ``County''), together
with its pooled investment funds (the ``Pools''), filed for protection under
Chapter 9 of the federal Bankruptcy Code.
 
    On May 2, 1995, the Bankruptcy Court approved a settlement agreement
covering claims of the other participating entities against the County and the
Pools. Most participants have received in cash 80% (90% for school districts) 
of their Pools' investments with the balance to be paid in the future.
 
    The State bears no existing obligation in connection with any of the
outstanding obligations or securities of the County or any of the other
participating entities. It may, however, be necessary for the State to intervene
if the County lacks sufficient resources to maintain County administered State
programs. In this regard, the State cannot predict what, if any, action may
occur. The Legislature is considering the County's new financial plan and other
proposals relating to the County bankruptcy, including possible State oversight
of County finances. None of the proposals, however, presently involve any direct
State financial support of the County.
 
   1995-96 Budget
 
    The State began the 1995-96 fiscal year with strengthening revenues based on
an improving economy and the smallest nominal ``budget gap'' to be closed in
many years.
 
    The 1995-96 Budget Act, signed by the Governor on August 3, 1995, projects
General Fund revenues and transfers of $44.1 billion, about $2.2 billion higher
than projected revenues in 1994-95. The Budget Act projects Special Fund
revenues of $12.7 billion, an increase from $12.1 billion projected in 1994-95.
 
    The 1995-96 Budget Act projects General Fund expenditures and transfers of
$43.4 billion, an increase of $168 million over 1994-95. The Budget Act also
projects Special Fund expenditures of $13.4 billion, a decrease of $700 million
from 1994-95 projected expenditures. The principal features of the Budget Act
were the following:
                                      A-vi
 <PAGE>
<PAGE>
 
    1. Proposition 98 funding for schools and community colleges will increase
by about $1 billion (General Fund) and $1.2 billion total above revised 1994-95
levels. Because of higher than projected revenues in 1994-95, an additional $543
million is appropriated to the 1994-95 Proposition 98 entitlement. A significant
component of this amount is a block grant of about $54 per pupil for any
one-time purpose. Per-pupil expenditures are projected to increase by another
$126 in 1995-96 to $4,435. A full 2.7% cost of living allowance is funded for
the first time in several years. The budget compromise anticipates a settlement
of the CTA v. Gould litigation.
 
    2. Cuts in health and welfare costs totaling about $900 million, some of
which would require federal legislative approval.
 
    3. A 3.5% increase in funding for the University of California ($90 million
General Fund) and the California State University system ($24 million General
Fund).
 
    4. The Budget assumes receipt of $473 million in new federal aid for costs
of illegal immigrants, in excess of federal government commitments. This amount
is considerably less than the summer 1994 two-year budget proposal estimate, and
is somewhat lower than the estimate in the January 1995 Governor's Budget.
 
    5. General Fund support for the Department of Corrections is increased by
about 8 percent over 1994-95, reflecting estimates of increased prison
population. This amount is less than was proposed in the Governor's Budget.
 
    THE FOREGOING DISCUSSION OF THE 1995-96 FISCAL YEAR BUDGET IS BASED IN LARGE
PART ON STATEMENTS MADE IN A RECENT ``PRELIMINARY OFFICIAL STATEMENT''
DISTRIBUTED BY THE STATE OF CALIFORNIA. IN THAT DOCUMENT, THE STATE INDICATED
THAT ITS DISCUSSION OF THE FISCAL YEAR BUDGET IS BASED ON ESTIMATES AND
PROJECTIONS OF REVENUES AND EXPENDITURES FOR THE CURRENT FISCAL YEAR AND MUST
NOT BE CONSTRUED AS STATEMENTS OF FACT. THE STATE NOTED FURTHER THAT THE
ESTIMATES AND PROJECTIONS ARE BASED UPON VARIOUS ASSUMPTIONS WHICH MAY BE
AFFECTED BY NUMEROUS FACTORS, INCLUDING FUTURE ECONOMIC CONDITIONS IN THE STATE
AND THE NATION, AND THAT THERE CAN BE NO ASSURANCE THAT THE ESTIMATES WILL BE
ACHIEVED.
 
   State Appropriations Limit
 
    The State is subject to an annual appropriations limit imposed by Article
XIIIB of the State Constitution (the ``Appropriations Limit''), and is
prohibited from spending ``appropriations subject to limitation'' in excess of
the Appropriations Limit. Article XIIIB, originally adopted in 1979, was
modified substantially by Propositions 98 and 111 in 1988 and 1990,
respectively. ``Appropriations subject to limitation'' are authorizations to
spend ``proceeds of taxes,'' which consist of tax revenues and certain other
funds, including proceeds from regulatory licenses, user charges or other fees
to the extent that such proceeds exceed the reasonable cost of providing the
regulation, product or service. The Appropriations Limit is based on the limit
for the prior year, adjusted annually for certain changes, and is tested over
consecutive two-year periods. Any excess of the aggregate proceeds of taxes
received over such two-year period above the combined Appropriation Limits for
those two years is divided equally between transfers to K-14 districts and
refunds to taxpayers.
 
    Exempted from the Appropriations Limit are debt service costs of certain
bonds, court or federally mandated costs, and, pursuant to Proposition 111,
qualified capital outlay projects and appropriations or revenues derived from
any increase in gasoline taxes and motor vehicle weight fees above January 1,
1990 levels. Some recent initiatives were structured to create new tax revenues
dedicated to specific uses and expressly exempted from the Article XIIIB limits.
The Appropriations Limit may also be exceeded in cases of emergency arising from
civil disturbance or natural disaster declared by the Governor and approved by
two-thirds of the Legislature. If not so declared and approved, the
Appropriations Limit for the next three years must be reduced by the amount of
the excess.
 
    Because of the complexities of Article XIIIB, the ambiguities and possible
inconsistencies in its terms, the applicability of its exceptions and exemptions
and the impossibility of predicting future appropriations, the Sponsor cannot
predict the impact of this or related legislation on the bonds in the California
Trust Portfolio. Other Constitutional amendments affecting state and local taxes
and appropriations have been proposed from time to time. If any such initiatives
are adopted, the State could be pressured to provide additional financial
assistance to local governments or appropriate revenues as mandated by such
initiatives. Propositions such as Proposition 98 and others that may be adopted
in the future, may place increasing pressure on the State's budget over future
years, potentially reducing resources available for

                                     A-vii
 <PAGE>
<PAGE>

other State programs, especially to the extent that the Article XIIIB spending
limit would restrain the State's ability to fund such other programs by raising
taxes.
 
   State Indebtedness
 
    As of August 1, 1995, the State had over $18.93 billion aggregate amount of
its general obligation bonds outstanding. General obligation bond authorizations
in an aggregate amount of approximately $2.81 billion remained unissued as of
August 1, 1995. The State also builds and acquires capital facilities through
the use of lease purchase borrowing. As of August 1, 1995, the State had
approximately $5.56 billion of outstanding Lease-Purchase Debt.
 
    In addition to the general obligation bonds, State agencies and authorities
had approximately $18.98 billion aggregate principal amount of revenue bonds and
notes outstanding as of June 30, 1995. Revenue bonds represent both obligations
payable from State revenue-producing enterprises and projects, which are not
payable from the General Fund, and conduit obligations payable only from
revenues paid by private users of facilities financed by such revenue bonds.
Such enterprises and projects include transportation projects, various public
works and exposition projects, educational facilities (including the California
State University and University of California systems), housing, health
facilities and pollution control facilities.
 
   Litigation
 
    The State is a party to numerous legal proceedings, many of which normally
occur in governmental operations. In addition, the State is involved in certain
other legal proceedings that, if decided against the State, might require the
State to make significant future expenditures or impair future revenue sources.
 
   Ratings
 
    On July 15, 1994, Standard & Poor's Corporation (``Standard & Poor's''),
Moody's Investors Service, Inc. (``Moody's''), and Fitch Investors Service, Inc.
(``Fitch'') all downgraded their ratings of California's general obligation
bonds. These bonds are usually sold in 20-to 30-year increments and used to
finance the construction of schools, prisons, water systems and other projects.
The ratings were reduced by Standard & Poor's from ``A+'' to ``A,'' by Moody's
from ``Aa'' to ``A1,'' and by Fitch from ``AA'' to ``A.'' Since 1991, when it
had a ``AAA'' rating, the State's rating has been downgraded three times by all
three ratings agencies. All three agencies cite the 1994-95 Budget Act's
dependence on a ``questionable'' federal bailout to pay for the cost of illegal
immigrants, the Proposition 98 guaranty of a minimum portion of State revenues
for kindergarten through community college, and the persistent deficit requiring
more borrowing as reasons for the reduced rating. Another concern was the
State's reliance on a standby mechanism which could trigger across-the-board
reductions in all State programs, and which could disrupt State operations,
particularly in fiscal year 1995-96. However, a Standard & Poor's spokesman
stated that, although the lowered-ratings means California is a riskier
borrower, Standard & Poor's anticipates that the State will pay off its debts
and not default. There can be no assurance that such ratings will continue for
any given period of time or that they will not in the future be further revised.
 
    Fitch upgraded its rating of California's general obligation bonds from
``A'' to ``A+'' on February 26, 1996. No rating change was made, however, by
either Moody's or Standard & Poor's as of that date.
 
    As a result of Orange County's Chapter 9 bankruptcy filing on December 6,
1994, Moody's suspended the county's bond ratings until January 6, 1995, when it
reinstated them at a rating of ``Caa.'' On December 6, 1994, Standard & Poor's
cut its rating of all Orange County debt from ``AA-'' to ``CCC,'' a level below
investment grade and an indication of high risk and uncertainty, and on December
8, 1994, Standard & Poor's further reduced its rating to ``D'' indicating
default status. Fitch does not rate Orange County bonds. It is anticipated that
as Orange County's credit and bond ratings fall, it will have difficulty in
getting loans or selling its bonds to raise money. Additionally, the County's
bankruptcy filing could affect about 180 municipalities, school districts, and
other municipal entities which entrusted billions of dollars to Orange County to
invest. Standard & Poor's has informed such entities that they have been placed
on negative credit watch, the usual step prior to a downgrade of credit rating.
 
    The Sponsor believes the information summarized above describes some of the
more significant aspects relating to the California Trust. The sources of such
information are Preliminary Official Statements and Official Statements relating
to the State's general obligation bonds and the State's revenue anticipation
notes, or obligations of other issuers located in the State of California, or
other publicly available documents. Although the Sponsor has not independently
verified this information, it has no reason to believe that such information is
not correct in all material respects.

                                     A-viii
 <PAGE>
<PAGE>
 
                        SUPPLEMENT TO PART B--TAX STATUS
 
California Trust
 
   On the Date of Deposit, special California counsel for the Sponsor rendered
an opinion under the then existing California state income tax law which read 
as follows:
 
       The Trust is not an association taxable as a corporation under the income
    tax laws of the State of California;
 
       The income, deductions and credits against tax of the Trust will be
    treated as the income, deductions and credits against tax of the holders of
    Units in the Trust under the income tax laws of the State of California;
 
       Interest on the bonds held by the Trust to the extent that such interest
    is exempt from taxation under California law will not lose its character as
    tax-exempt income merely because that income is passed through to the
    holders of Units; however, a corporation subject to the California franchise
    tax is required to include that interest income in its gross income for
    purposes of determining its franchise tax liability;
 
       Each holder of a Unit in the Trust will have a taxable event when the
    Trust disposes of a bond (whether by sale, exchange, redemption, or payment
    at maturity) or when the Unit holder redeems or sells his Units. The total
    tax cost of each Unit to a holder of a Unit in the Trust is allocated among
    each of the bond issues held in the Trust (in accordance with the proportion
    of the Trust comprised by each bond issue) in order to determine the
    holder's per Unit tax cost for each bond issue, and the tax cost reduction
    requirements relating to amortization of bond premium will apply separately
    to the per Unit tax cost of each bond issue. Therefore, under some
    circumstances, a holder of a Unit may realize taxable gain when the Trust
    disposes of a bond or the holder's Units are sold or redeemed for an amount
    equal to or less than his original cost of the bond or Unit;
 
       Each holder of a Unit in the Trust is deemed to be the owner of a pro
    rata portion of the Trust under the personal property tax laws of the State
    of California;
 
       Each Unit holder's pro rata ownership of the bonds held by the Trust, as
    well as the interest income therefrom, is exempt from California personal
    property taxes; and
 
       Amounts paid in lieu of interest on defaulted bonds held by the Trustee
    under policies of insurance issued with respect to such bonds will be
    excludable from gross income for California income tax purposes if, and to
    the same extent as, those amounts would have been so excludable if paid as
    interest by the respective issuer.
 
   In the opinion of Messrs. Kopesky & Welke, LLP, special California counsel to
the Sponsor, no change in law has occurred since the Date of Deposit which would
require a change in the above opinion.

                                      A-ix
<PAGE>
<AUDIT-REPORT>

                        INDEPENDENT AUDITORS' REPORT

THE UNIT HOLDERS, SPONSOR AND TRUSTEE
NATIONAL MUNICIPAL TRUST
SERIES 129
MULTISTATE SERIES 32
  consisting of:
    California Trust

We have audited the statements of financial condition and schedules of 
portfolio securities of the National Municipal Trust Series 129 and 
Multistate Series 32 consisting of the California Trust as of September 30, 
1996, and the related statements of operations and changes in net assets for 
each of the three years in the period then ended.  These financial 
statements are the responsibility of the Trustee (see Footnote (a)(1)).  Our 
responsibility is to express an opinion on these financial statements based 
on our audits.

We conducted our audits in accordance with generally accepted auditing 
standards.  Those standards require that we plan and perform the audit to 
obtain reasonable assurance about whether the financial statements are free 
of material misstatement.  An audit includes examining, on a test basis, 
evidence supporting the amounts and disclosures in the financial statements.  
Our procedures included confirmation of the securities owned as of 
September 30, 1996 as shown in the statements of financial condition and 
schedules of portfolio securities by correspondence with The Chase Manhattan 
Bank, the Trustee.  An audit also includes assessing the accounting 
principles used and the significant estimates made by the Trustee, as well 
as evaluating the overall financial statement presentation.  We believe that 
our audits provide a reasonable basis for our opinion.

In our opinion, the financial statements referred to above present fairly, 
in all material respects, the financial position of the National Municipal 
Trust Series 129 and Multistate Series 32 consisting of the California Trust 
as of September 30, 1996, and the results of their operations and the 
changes in their net assets for each of the three years in the period then 
ended in conformity with generally accepted accounting principles.

DELOITTE & TOUCHE LLP
DELOITTE & TOUCHE LLP

December 26, 1996
New York, New York

</AUDIT-REPORT>
                                    A-1


<PAGE>
                             STATEMENT OF FINANCIAL CONDITION
                                             
                                 NATIONAL MUNICIPAL TRUST
                                        SERIES 129
                                             
                                    September 30, 1996


                                      TRUST PROPERTY
<TABLE>
<S>                                                                         <C>
Investments in municipal bonds at market value 
  (amortized cost $7,984,820) (Note (a) and 
  Schedule of Portfolio Securities Notes (4) 
  and (5))                                                                  $8,779,090

Accrued interest receivable                                                    178,436

Cash                                                                             1,879

           Total                                                             8,959,405

                                 LIABILITY AND NET ASSETS

Less Liability:

   Accrued Trust fees and expenses                                               4,815


Net Assets:

   Balance applicable to 9,788 Units of fractional 
     undivided interest outstanding (Note (c)):

      Capital, plus unrealized market
        appreciation of $794,270                                $8,779,090

      Undistributed principal and net investment 
        income(Note (b))                                           175,500


           Net assets                                                       $8,954,590

Net asset value per Unit ($8,954,590 divided by 9,788 Units)                 $  914.85

</TABLE>
                            See notes to financial statements

                                           A-2


<PAGE>

                                 STATEMENTS OF OPERATIONS
                                             
                                 NATIONAL MUNICIPAL TRUST
                                        SERIES 129
<TABLE>
<CAPTION>

                                                      For the years ended September 30,
                                                        1996        1995        1994

<S>                                                    <C>         <C>        <C>
Investment income - interest                           $659,218    $678,691   $723,885

Less Expenses: 

   Trust fees and expenses                               12,931      14,374     16,422

           Total expenses                                12,931      14,374     16,422

           Investment income - net                      646,287     664,317    707,463

Net (loss) gain on investments:

   Realized gain (loss) on securities sold
     or redeemed                                         26,820       2,953     (4,591)

   Unrealized market (depreciation) appreciation       (202,470)    161,191   (595,081)

           Net (loss) gain on investments              (175,650)    164,144   (599,672)

Net increase in net assets resulting from
  operations                                           $470,637    $828,461   $107,791

</TABLE>
                            See notes to financial statements

                                           A-3


<PAGE>

                           STATEMENTS OF CHANGES IN NET ASSETS
                                             
                                 NATIONAL MUNICIPAL TRUST
                                        SERIES 129
<TABLE>
<CAPTION>

                                                  For the years ended September 30,
                                                   1996          1995          1994

<S>                                             <C>            <C>          <C>
Operations:

   Investment income - net                      $  646,287     $  664,317   $  707,463

   Realized gain (loss) on securities sold
     or redeemed                                    26,820          2,953       (4,591)

   Unrealized market (depreciation) apprecia-
     tion                                         (202,470)       161,191     (595,081)

           Net increase in net assets
             resulting from operations             470,637        828,461      107,791

Less Distributions to Unit Holders: 

   Principal                                      (371,326)      (235,000)    (850,000)

   Investment income - net                        (639,053)      (657,576)    (721,300)

           Total distributions                  (1,010,379)      (892,576)  (1,571,300)

Less Capital Share Transactions:

   Redemption of 188 Units and 24 Units,
     respectively                                 (175,493)       (22,931)        -   

   Accrued interest on redemption                   (3,222)          (460)        -   

           Total capital share transactions       (178,715)       (23,391)        -   

Net decrease in net assets                        (718,457)       (87,506)  (1,463,509)

Net assets:

   Beginning of year                             9,673,047      9,760,553   11,224,062

   End of year (including undistributed prin-
     cipal and net investment income of
     $175,500 and $178,956, and undistributed
     net investment income of $175,633,
     respectively)                              $8,954,590     $9,673,047   $9,760,553

</TABLE>
                            See notes to financial statements

                                           A-4


<PAGE>
                       NOTES TO FINANCIAL STATEMENTS
                                      
                          NATIONAL MUNICIPAL TRUST
                                 SERIES 129
                                      
                             September 30, 1996

(a) SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

    The Trust is registered under the Investment Company Act of 1940 as a 
Unit Investment Trust.  The following is a summary of the significant 
accounting policies of the Trust:

(1) Basis of Presentation

    The Trustee has custody of and responsibility for all accounting and 
financial books, records, financial statements and related data of 
the Trust and is responsible for establishing and maintaining a 
system of internal controls directly related to, and designed to 
provide reasonable assurance as to the integrity and reliability 
of, financial reporting of the Trust.  The Trustee is also 
responsible for all estimates and accruals reflected in the Trust's 
financial statements.  The Evaluator determines the price for each 
underlying Security included in the Trust's Schedule of Portfolio 
Securities on the basis set forth in Part B of this Prospectus, 
"Public Offering of Units - Public Offering Price".  Under the 
Securities Act of 1933 ("the Act"), as amended, the Sponsor is 
deemed to be an issuer of the Trust Units.  As such, the Sponsor 
has the responsibility of an issuer under the Act with respect to 
financial statements of the Trust included in the Registration 
Statement under the Act and amendments thereto.

(2) Investments

    Investments are stated at market value as determined by the 
Evaluator based on the bid side evaluations on the last day of 
trading during the period, except the value on the date of deposit 
(October 9, 1990) represents the cost of investments to the Trust 
based on the offering side evaluations as of the date of deposit.

(3) Income Taxes

    The Trust is not an association taxable as a corporation for Federal 
income tax purposes; accordingly, no provision is required for such 
taxes.

(4) Expenses

    The Trust pays an annual Trustee's fee, estimated expenses, 
Evaluator's fees, and an annual Sponsor's portfolio supervision 
fee, and may incur additional charges as explained under "Expenses 
and Charges" in Part B of this Prospectus.

                                       A-5


<PAGE>
                       NOTES TO FINANCIAL STATEMENTS
                                      
                          NATIONAL MUNICIPAL TRUST
                                 SERIES 129
                                      
                             September 30, 1996

(b) DISTRIBUTIONS

    Interest received by the Trust is distributed to the Unit Holders on or 
shortly after the twenty-fifth day of each month, after deducting 
applicable expenses.  Receipts other than interest are distributed as 
explained in "Rights of Units Holders - Distribution of Interest and 
Principal" in Part B of this Prospectus.

(c) ORIGINAL COST TO INVESTORS

    The original cost to investors represents the aggregate initial public 
offering price as of the date of deposit (October 9, 1990) exclusive of 
accrued interest.


    A reconciliation of the original cost of Units to investors to the net 
amount applicable to investors as of September 30, 1996 follows:

<TABLE>
       <S>                                                      <C>
       Original cost to investors                               $10,075,693
       Less:  Gross underwriting commissions (sales charge)        (478,600)
       Net cost to investors                                      9,597,093
       Cost of securities sold or redeemed                       (1,639,470)
       Unrealized market appreciation                               794,270
       Accumulated interest accretion                                27,197
       Net amount applicable to investors                       $ 8,779,090
</TABLE>

(d) OTHER INFORMATION

    Selected data for a Unit of the Trust during each year:

<TABLE>
<CAPTION>
                                       For the years ended September 30,
                                        1996         1995          1994
       <S>                            <C>           <C>            <C>
       Principal distributions
         during year                  $ 37.75       $ 23.50        $ 85.00
       
       Net investment income
         distributions during year    $ 64.61       $ 65.81        $ 72.13
       
       Net asset value at end of
         year                         $914.85       $969.63        $976.06
       
       Trust Units outstanding at
         end of year                    9,788         9,976         10,000
</TABLE>
                                        A-6


<PAGE>


                                   SCHEDULE OF PORTFOLIO SECURITIES
                                                   
                                       NATIONAL MUNICIPAL TRUST
                                              SERIES 129

                                          September 30, 1996
<TABLE>
<CAPTION>

Port-                                                                                                 Optional
folio                                   Rating      Face      Coupon   Maturity    Sinking Fund       Refunding        Market
No.         Title of Securities          <F1>      Amount      Rate       Date    Redemptions<F3>    Redemptions<F2> Value<F4><F5>

<C>  <S>                                 <C>   <C>            <C>       <C>       <C>                <C>              <C>
 1.  City of Atlanta, Special
     Purpose Facilities Revenue
     Bonds, Series 1989B (Delta
     Airlines, Inc. Project).
     <F8>                                BB+   $  800,000     7.900%   12/01/18   NONE               12/01/99@102     $  850,888

 2.  Illinois Health Facilities
     Authority, Revenue Bonds,
     Series 1989B (ServantCor).
     <F7>                                <F9>   1,000,000     7.875    08/15/19   08/15/02@100       08/15/99@102      1,102,160

 3.  Massachusetts Housing Finance
     Agency, Single-Family Housing
     Revenue Bonds, Series 7. <F8>       Aa<F6>   815,000     8.100    06/01/20   06/01/10@100       06/01/98@102        848,945

 4.  Massachusetts Water
     Resources Authority, General
     Revenue Bonds, 1990 Series
     A. <F7>                             AAA    1,000,000     7.625    04/01/14   04/01/10@100       04/01/00@102      1,117,690

 5.  New Jersey Health Care
     Facilities Financing Author-
     ity, Revenue Bonds, East
     Orange General Hospital
     Issue, Series B.                    BBB+   1,000,000     7.750    07/01/20   NONE               07/01/00@102      1,059,460

 6.  Puerto Rico Electric Power
     Authority, Power Revenue
     Refunding Bonds, Series O.          BBB+     360,000     0.000    07/01/17   NONE               NONE                106,304

 7.  Brazos County Health
     Facilities, Development
     Corporation, Franciscan
     Services Corporation Revenue
     Bonds, Series 1989B (Saint
     Joseph Hospital and Health
     Center of Bryan, Texas).
     <F7>                                <F9>   1,000,000     7.750    01/01/19   01/01/02@100       01/01/99@102      1,086,110

 8.  Brazos River Authority
     (Texas), Collateralized 
     Revenue Refunding Bonds, 
     (Houston Lighting & Power
     Company Project), Series
     1988A.                              A        600,000     8.250    05/01/19   NONE               05/01/98@102        640,962

 9.  Utah Associated Municipal
     Power Systems, Craig-Mona
     Transmission Project, Reve-
     nue Bonds, Series 1990.
     <F7>                                A-       425,000     7.500    12/01/09   12/01/01@100       12/01/00@102        476,718

10.  Washington Public Power
     Supply System Nuclear Proj-
     ect No. 1 Refunding Revenue
     Bonds, Series 1990C.  <F7>          AAA      920,000     8.000    07/01/17   01/01/09@100       07/01/00@102      1,043,464

11.  Wisconsin Housing and Eco-
     nomic Development Authority,
     Home Ownership Revenue Bonds,
     1990 Series E.  <F8>                AA       435,000     8.000    03/01/21   03/01/19@100       09/01/00@102        446,389

                                               $8,355,000                                                             $8,779,090

</TABLE>

                              See notes to schedule of portfolio securities

                                                   A-7


<PAGE>
               NOTES TO SCHEDULE OF PORTFOLIO SECURITIES
                                    
                        NATIONAL MUNICIPAL TRUST
                               SERIES 129
                                    
                           September 30, 1996

<F1> All ratings are provided by Standard & Poor's Corporation, unless 
otherwise indicated.  A brief description of applicable Security 
ratings is given under "Bond Ratings" in Part B of this Prospectus.

<F2> There is shown under this heading the date on which each issue of 
Securities is redeemable by the operation of optional call 
provisions and the redemption price for that date; unless otherwise 
indicated, each issue continues to be redeemable at declining 
prices thereafter but not below par.  Securities listed as non-
callable, as well as Securities listed as callable, may also be 
redeemable at par under certain circumstances from special 
redemption payments.

<F3> There is shown under this heading the date on which an issue of 
Securities is subject to scheduled sinking fund redemption and the 
redemption price on that date.

<F4> The market value of the Securities as of September 30, 1996 was 
determined by the Evaluator on the basis of bid side evaluations 
for the Securities on such date.

<F5> At September 30, 1996, the unrealized market appreciation of all 
Securities was comprised of the following:

<TABLE>
      <S>                                       <C>
      Gross unrealized market appreciation      $794,270
      Gross unrealized market depreciation          -   
      Unrealized market appreciation            $794,270
</TABLE>

    The amortized cost of the Securities for Federal income tax purposes 
was $7,984,820 at September 30, 1996.

<F6> Moody's Investors Service, Inc. rating.

<F7> The Issuers of Portfolio Nos. 2, 4, 7, 9 and 10 have indicated that 
they will refund these Securities on their respective optional 
redemption dates.

<F8> In the opinion of bond counsel to the issuing governmental 
authorities, interest payments on these bonds will be a tax 
preference item for individuals and corporations for alternative 
minimum tax purposes.  Normally, the bonds pay interest 
semiannually.  The payment dates can generally be determined based 
on the date of maturity, i.e., a bond maturing on December 1 will 
pay interest semiannually on June 1 and December 1. See "Tax 
Status" in Part B of this Prospectus.

                                  A-8


<PAGE>
               NOTES TO SCHEDULE OF PORTFOLIO SECURITIES
                                    
                        NATIONAL MUNICIPAL TRUST
                               SERIES 129
                                    
                           September 30, 1996

<F9> This Security, although unrated, has, in the opinion of the Sponsor, 
credit characteristics comparable to an investment grade Security.

                                  A-9


<PAGE>
                             STATEMENT OF FINANCIAL CONDITION
                                             
                                 NATIONAL MUNICIPAL TRUST
                                   MULTISTATE SERIES 32
                                     CALIFORNIA TRUST
                                             
                                    September 30, 1996


                                      TRUST PROPERTY

<TABLE>
<S>                                                                         <C>
Investments in Securities at market value 
  (amortized cost $1,493,824) (Note (a) and 
  Schedule of Portfolio Securities Notes (4) 
  and (5))                                                                  $1,616,486

Accrued interest receivable                                                     28,706

Cash                                                                            11,829

           Total                                                             1,657,021

                                 LIABILITY AND NET ASSETS
Less Liability:

   Accrued Trust fees and expenses                                               1,595


Net Assets:

   Balance applicable to 2,190 Units of fractional 
     undivided interest outstanding (Note (c)):

      Capital, plus unrealized market
        appreciation of $122,662                                $1,616,486

      Undistributed principal and net
        investment income (Note (b))                                38,940


           Net assets                                                       $1,655,426

Net asset value per Unit ($1,655,426 divided by 2,190 Units)                 $  755.90

</TABLE>
                            See notes to financial statements

                                           A-10


<PAGE>

                                 STATEMENTS OF OPERATIONS
                                             
                                 NATIONAL MUNICIPAL TRUST
                                   MULTISTATE SERIES 32
                                     CALIFORNIA TRUST
<TABLE>
<CAPTION>

                                                      For the years ended September 30,
                                                        1996        1995        1994

<S>                                                    <C>         <C>        <C>
Investment income - interest                           $140,486    $197,916   $223,793

Less Expenses: 

   Trust fees and expenses                                3,925       5,771      5,950

           Total expenses                                 3,925       5,771      5,950

           Investment income - net                      136,561     192,145    217,843

Net gain (loss) on investments:

   Realized gain on securities sold or redeemed           1,579       9,376       -   

   Net unrealized market appreciation (depreciation)      3,202     (39,857)  (219,482)

           Net gain (loss) on investments                 4,781     (30,481)  (219,482)

Net increase (decrease) in net assets resulting
  from operations                                      $141,342    $161,664   $ (1,639)

</TABLE>
                            See notes to financial statements

                                           A-11


<PAGE>

                           STATEMENTS OF CHANGES IN NET ASSETS
                                             
                                 NATIONAL MUNICIPAL TRUST
                                   MULTISTATE SERIES 32
                                     CALIFORNIA TRUST
<TABLE>
<CAPTION>

                                                    For the years ended September 30,
                                                      1996         1995         1994
<S>                                                <C>          <C>         <C>
Operations:

   Investment income - net                         $  136,561   $  192,145   $ 217,843

   Realized gain on securities sold or redeemed         1,579        9,376        -   

   Net unrealized market appreciation (deprecia-
     tion)                                              3,202      (39,857)   (219,482)

           Net increase (decrease) in net
             assets resulting from operations         141,342      161,664      (1,639)


Less Distributions to Unit Holders: 

   Principal                                         (509,145)    (160,461)       -   

   Investment income - net                           (133,963)    (189,918)   (213,480)

           Total distributions                       (643,108)    (350,379)   (213,480)

Less Capital Share Transactions:

   Redemption of 297 Units and 513 Units,
     respectively                                    (248,768)    (509,163)       -   

   Accrued interest on redemption                      (5,246)      (8,961)       -   

           Total capital share transactions          (254,014)    (518,124)       -   

Net decrease in net assets                           (755,780)    (706,839)   (215,119)

Net assets:

   Beginning of year                                2,411,206    3,118,045   3,333,164

   End of year (including undistributed principal
     and net investment income of $38,940, 
     $45,910 and $57,049, respectively)            $1,655,426   $2,411,206  $3,118,045

</TABLE>
                            See notes to financial statements

                                           A-12


<PAGE>
                       NOTES TO FINANCIAL STATEMENTS
                                      
                          NATIONAL MUNICIPAL TRUST
                            MULTISTATE SERIES 32
                              CALIFORNIA TRUST
                                      
                             September 30, 1996

(a) SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

    The Trust is registered under the Investment Company Act of 1940 as a 
Unit Investment Trust.  The following is a summary of the significant 
accounting policies of the Trust:

(1) Basis of Presentation

    The Trustee has custody of and responsibility for all accounting and 
financial books, records, financial statements and related data of 
the Trust and is responsible for establishing and maintaining a 
system of internal controls directly related to, and designed to 
provide reasonable assurance as to the integrity and reliability 
of, financial reporting of the Trust.  The Trustee is also 
responsible for all estimates and accruals reflected in the Trust's 
financial statements.  The Evaluator determines the price for each 
underlying Security included in the Trust's Schedule of Portfolio 
Securities on the basis set forth in Part B of this Prospectus, 
"Public Offering of Units - Public Offering Price".  Under the 
Securities Act of 1933 ("the Act"), as amended, the Sponsor is 
deemed to be an issuer of the Trust Units.  As such, the Sponsor 
has the responsibility of an issuer under the Act with respect to 
financial statements of the Trust included in the Registration 
Statement under the Act and amendments thereto.

(2) Investments

    Investments are stated at market value as determined by the 
Evaluator based on the bid side evaluations on the last day of 
trading during the period, except the value on the date of deposit 
(October 9, 1990) represents the cost of investments to the Trust 
based on the offering side evaluations as of the date of deposit.

(3) Income Taxes

    The Trust is not an association taxable as a corporation for Federal 
income tax purposes; accordingly, no provision is required for such 
taxes.

(4) Expenses

    The Trust pays an annual Trustee's fee, estimated expenses, 
Evaluator's fees, and an annual Sponsor's portfolio supervision 
fee, and may incur additional charges as explained under "Expenses 
and Charges" in Part B of this Prospectus.

                                      A-13


<PAGE>
                       NOTES TO FINANCIAL STATEMENTS
                                      
                          NATIONAL MUNICIPAL TRUST
                            MULTISTATE SERIES 32
                              CALIFORNIA TRUST
                                      
                             September 30, 1996

(b) DISTRIBUTIONS

    Interest received by the Trust is distributed to the Unit Holders on or 
shortly after the twenty-fifth day of each month, after deducting 
applicable expenses.  Receipts other than interest are distributed as 
explained in "Rights of Units Holders - Distribution of Interest and 
Principal" in Part B of this Prospectus.

(c) ORIGINAL COST TO INVESTORS

    The original cost to investors represents the aggregate initial public 
offering price as of the date of deposit (October 9, 1990) exclusive of 
accrued interest.


    A reconciliation of the original cost of Units to investors to the net 
amount applicable to investors as of September 30, 1996 follows:

<TABLE>
       <S>                                                       <C>
       Original cost to investors                                $3,041,189
       Less:  Gross underwriting commissions (sales charge)        (144,450)
       Net cost to investors                                      2,896,739
       Cost of securities sold or redeemed                       (1,426,541)
       Unrealized market appreciation                               122,662
       Accumulated interest accretion                                23,626
       Net amount applicable to investors                        $1,616,486
</TABLE>

(d) OTHER INFORMATION

    Selected data for a Unit of the Trust during each year:

<TABLE>
<CAPTION>
                                        For the years ended September 30,
                                        1996           1995        1994
       <S>                            <C>            <C>         <C>
       Principal distributions
         during year                  $215.80        $ 64.52     $     -  
       
       Net investment income
         distributions during year    $ 57.17        $ 70.21     $   71.16
       
       Net asset value at end of
         year                         $755.90        $969.52     $1,039.35
       
       Trust Units outstanding at
         end of year                    2,190          2,487         3,000
</TABLE>
                                        A-14


<PAGE>

                              SCHEDULE OF PORTFOLIO SECURITIES
                                              
                                  NATIONAL MUNICIPAL TRUST
                                    MULTISTATE SERIES 32
                                      CALIFORNIA TRUST
                                              
                                     September 30, 1996
<TABLE>
<CAPTION>

Port-                                                                                               Optional
folio                                  Rating        Face     Coupon   Maturity    Sinking Fund     Refunding        Market
No.         Title of Securities         <F10>       Amount     Rate       Date    Redemptions<F12> Redemptions<F11>  Value
                                                                                                                    <F13><F14>
  <C> <S>                                <C>       <C>         <C>       <C>       <C>              <C>              <C>
 1.  California Health Facili-
     ties Financing Authority,
     Health Facility Revenue
     Bonds, (Ponoma Valley Hospi-
     tal Medical Center), 1989
     Series A.                          A-        $  300,000  7.375%   01/01/14   01/01/08@100     01/01/00@102     $  319,134

 2.  California Housing Finance
     Agency, Home Mortgage Reve-
     nue Bonds, 1990 Series D.
     <F17>                              Aa<F15>      290,000  7.750    08/01/10   02/01/06@100     08/01/00@102        306,837

 3.  City of Oakland, Califor-
     nia, Insured Health Facility
     Revenue Bonds, (East Oakland
     Health Center), 1990 Series
     A, (State Insured).                A            300,000  7.600    10/01/20   08/01/11@100     10/01/99@102        322,404

 4.  Community Redevelopment
     Agency of the City of Santa
     Ana, Santa Ana Inter-City
     Commuter Station, Redevelop-
     ment Project, 1989 Series A,
     Tax Allocation Refunding
     Bonds.                             BBB+          45,000  7.250    09/01/19   09/01/10@100     09/01/99@102         46,931

 5.  Emeryville Public Financ-
     ing Authority (Alameda
     County, California), 1990
     Housing Increment Revenue
     Bonds, Series A (Emeryville
     Redevelopment Project, Sub-
     ordinate Lien).  <F16>             A            125,000  7.875    02/01/15   02/01/01@100     02/01/01@102        143,394

 6.  Fontana Public Financing
     Authority (San Bernardino
     County, California), Tax
     Allocation Revenue Bonds,
     (North Fontana Redevelopment
     Project), 1990 Series A.           BB+          100,000  7.250    09/01/20   09/01/11@100     09/01/00@102         99,318

 7.  Series 1989, Certificates
     of Participation (Antelope
     Valley Hospital District
     Project).                          A            300,000  7.350    01/01/20   01/01/07@100     01/01/98@102        313,242

 8.  State of California, Gen-
     eral Obligation Bonds.             <F18>        140,000  0.000    02/01/10   NONE             NONE                 65,226

                                                  $1,600,000                                                        $1,616,486
</TABLE>

                         See notes to schedule of portfolio securities

                                              A-15


<PAGE>
               NOTES TO SCHEDULE OF PORTFOLIO SECURITIES
                                    
                        NATIONAL MUNICIPAL TRUST
                          MULTISTATE SERIES 32
                            CALIFORNIA TRUST
                                    
                           September 30, 1996

<F10> All ratings are provided by Standard & Poor's Corporation, unless 
otherwise indicated.  A brief description of applicable Security 
ratings is given under "Bond Ratings" in Part B of this Prospectus.

<F11> There is shown under this heading the date on which each issue of 
Securities is redeemable by the operation of optional call 
provisions and the redemption price for that date; unless otherwise 
indicated, each issue continues to be redeemable at declining 
prices thereafter but not below par.  Securities listed as non-
callable, as well as Securities listed as callable, may also be 
redeemable at par under certain circumstances from special 
redemption payments.

<F12> There is shown under this heading the date on which an issue of 
Securities is subject to scheduled sinking fund redemption and the 
redemption price on that date.

<F13> The market value of the Securities as of September 30, 1996 was 
determined by the Evaluator on the basis of bid side evaluations 
for the Securities on 

<F14> At September 30, 1996, the unrealized market appreciation of all 
Securities was comprised of the following:

<TABLE>
      <S>                                       <C>
      Gross unrealized market appreciation      $122,662
      Gross unrealized market depreciation          -   
      Unrealized market appreciation            $122,662
</TABLE>

    The amortized cost of the Securities for Federal income tax purposes 
was $1,493,824 at September 30, 1996.

<F15> Moody's Investors Service, Inc. rating.

<F16> The Issuer of Portfolio No. 5 has indicated that it will refund this 
Security on its optional redemption date.

<F17> In the opinion of bond counsel to the issuing governmental 
authorities, interest payments on these bonds will be a tax 
preference item for individuals and corporations for alternative 
minimum tax purposes.  Normally, the bonds pay interest 
semiannually.  The payment dates can generally be determined based 
on the date of maturity, i.e., a bond maturing on December 1 will 
pay interest semiannually on June 1 and December 1.  See "Tax 
Status" in Part B of this Prospectus.

                                  A-16


<PAGE>
               NOTES TO SCHEDULE OF PORTFOLIO SECURITIES
                                    
                        NATIONAL MUNICIPAL TRUST
                          MULTISTATE SERIES 32
                            CALIFORNIA TRUST
                                    
                           September 30, 1996

<F18> These Securities, although unrated, have, in the opinion of the 
Sponsor, credit characteristics comparable to an investment grade 
Security.
                                  A-17
<PAGE>

(MODULE)
  [NAME]      NMT-PUT-PTB-996
  [CIK]       0000941856
  [CCC]       3ttrjz#m
(/MODULE)


<PAGE>

            This Post-Effective Amendment to the Registration Statement on
Form S-6 comprises the following papers and documents: 

            The facing sheet on Form S-6. 

            The Prospectus. 

            Signatures. 

            Consent of Kopesky & Welke, LLP (included in Exhibit 8),
            independent public accountants and consent of evaluator; all
            other consents were previously filed. 

                                      UNDERTAKING

            The following Exhibits: 

         ****Ex-3.(i)  -    Restated Certificate of Incorporation of
                              Prudential Securities Incorporated dated
                              March 29, 1993.
       *****Ex-3.(ii)  -    Revised By-Laws of Prudential Securities
                              Incorporated as amended through June 21,
                              1997.
                +Ex-4  -    Trust Indenture and Agreement dated
                              September 6, 1989.  
                *Ex-8  -    Opinion of Kopesky & Welke, LLP.
               *Ex-23  -    Consent of Kenny S&P Evaluation Services, a
                              division of J.J. Kenny Co., Inc. (as
                              evaluator).
             ***Ex-24  -    Powers of Attorney executed by a majority of
                              the Board of Directors of Prudential
                              Securities Incorporated.
               *Ex-27  -    Financial Data Schedule for Series 129.
             *Ex-27.1  -    Financial Data Schedule for Multistate 
                              Series 32 (California).
                Ex-99       Information as to Officers and Directors of
                              Prudential Securities Incorporated is
                              incorporated by reference to Schedules A and
                              D of Form BD filed by Prudential Securities
                              Incorporated pursuant to Rules l5b1-1 and
                              l5b3-1 under the Securities Exchange Act of
                              1934 (1934 Act File No. 8-16267). 
            **Ex-99.2  -    Affiliations of Sponsor with other investment
                              companies. 
            **Ex-99.3  -    Broker's Blanket Policies, Standard Form No. 14
                              in the aggregate amount of $62,500,000. 
             +Ex-99.4   -   Investment Advisory Agreement. 

                                   II-1

<PAGE>
_________________________

        *   Filed herewith.

       **   Incorporated by reference to exhibit of same designation filed
            with the Securities and Exchange Commission as an exhibit to
            the Registration Statement under the Securities Act of 1933 of
            Prudential Unit Trusts, Insured Tax-Exempt Series 1,
            Registration No. 6-89263. 

      ***   Incorporated by reference to exhibit of same designation filed
            with the Securities and Exchange Commission as an exhibit to
            the Registration Statement under the Securities Act of 1933 of
            National Municipal Trust Series 172, Registration No. 33-54681.

     ****   Incorporated by reference to exhibit of same designation filed
            with the Securities and Exchange Commission as an exhibit to
            the Registration Statement under the Securities Act of 1933 of
            Government Securities Equity Trust Series 5, Registration No.
            33-57992.

    *****   Incorporated by reference to exhibit of same designation filed
            with the Securities and Exchange Commission as an exhibit to
            the Registration Statement under the Securities Act of 1933 of
            National Municipal Trust, Series 186, Registration No.
            33-54697.

        +   Incorporated by reference to exhibit of same designation filed
            with the Securities and Exchange Commission as an exhibit to
            the Registration Statement under the Securities Act of 1933 of
            National Municipal Trust, Insured Series 43, Registration No.
            33-29314.
                                   II-2

<PAGE>

                                SIGNATURES

          Pursuant to the requirements of the Securities Act of 1933, the
registrant, National Municipal Trust, Series 129 and Multistate Series 32
certifies that it meets all of the requirements for effectiveness of this
Registration Statement pursuant to Rule 485(b) under the Securities Act of
1933 and has duly caused this Registration Statement or amendments thereto
to be signed on its behalf by the undersigned thereunto duly authorized, in
the City of New York, and State of New York on the 21st day of January,
1997.

                         NATIONAL MUNICIPAL TRUST,
                         Series 129
                         Multistate Series 32
                           (Registrant)

                         By PRUDENTIAL SECURITIES INCORPORATED
                              (Depositor)

                         By the following persons,* who
                            constitute a majority of the
                            Board of Directors of Prudential
                            Securities Incorporated

                                   Alan D. Hogan
                                   Leland B. Paton
                                   Vincent T. Pica II
                                   Hardwick Simmons
                                   Lee B. Spencer, Jr.

                         By __/s/ Kenneth Swankie    ___
                               (Kenneth Swankie,
                               Senior Vice President,
                               Manager--Unit Investment
                               Trust Department,
                               as authorized 
                               signatory for Prudential Securities 
                               Incorporated and Attorney-
                               in-Fact for the persons
                               listed above)
_____________________

*    Pursuant to Powers of Attorney previously filed. 

                                   II-3

<PAGE>

                            CONSENT OF COUNSEL

          The consents of counsel to the use of their names in the
Prospectus included in this Registration Statement are contained in their
opinions filed as Exhibit 5 and 8-CA to the Registration Statement.

                                   II-4

<PAGE>


                        CONSENT OF INDEPENDENT AUDITORS 

We consent to the use of our report dated December 26, 1996, accompanying 
the financial statements of the National Municipal Trust Series 129 and 
Multistate Series 32 consisting of the California Trust included herein and 
to the reference to our Firm as experts under the heading "Auditors" in the 
prospectus which is a part of this registration statement. 

DELOITTE & TOUCHE LLP 
DELOITTE & TOUCHE LLP 

January 20, 1997 
New York, New York
                                      II-5



<PAGE>

                                                                Exhibit 8

                    Letterhead of Kopesky & Welke, LLP

                             January 22, 1997

Prudential Securities Incorporated
One New York Plaza
New York, NY  10292

               Re:  National Municipal Trust
                    Multistate Series 32

Gentlemen:

          Pursuant to your request, we have reviewed the opinion included
in the Prospectus for the captioned Series expressed by prior California
counsel to the Sponsor regarding the California income and property tax
status of the above-captioned Series of the National Municipal Trust.  We
are of the opinion that such opinion, a copy of which is included in the
Prospectus for the above-captioned Series, remains valid and that no change
has occurred which would require a change to such opinion and you may rely
on it in connection with the filing of a Post Effective Amendment to such
Series.

          We consent to the use of our name under the caption "Supplement
to Part B - Tax Status" in the Prospectus comprising a part of the above-
captioned Post Effective Amendment and we consent to the filing of this
opinion as an exhibit to said Post Effective Amendment.

                                   Very truly yours,

                                   Kopesky & Welke


<PAGE>


                                                              Exhibit 23

                Letterhead of Kenny S&P Evaluation Services
                   (a division of J.J. Kenny Co., Inc.)

                             January 22, 1997

Prudential Securities Incorporated
1 New York Plaza
New York, NY  10292

               Re:  National Municipal Trust,
                    Post-Effective Amendment No. 6
                    Series 129                    

Gentlemen:

          We have examined the post-effective Amendment to the Registration
Statement File No. 33-36054 for the above-captioned trust.  We hereby
acknowledge that Kenny S&P Evaluation Services, a division of J.J. Kenny
Co., Inc., is currently acting as the evaluator for the trust.  We hereby
consent to the use in the Registration of the references to Kenny S&P
Evaluation Services, a division of J.J. Kenny Co., Inc., as evaluator.

          In addition, we hereby confirm that the ratings indicated in the
above-referenced Amendment to the Registration Statement for the respective
bonds comprising the trust portfolio are the ratings currently indicated in
our KENNYBASE database as of the date of the evaluation report.

          You are hereby authorized to file a copy of this letter with the
Securities and Exchange Commission.

                                   Sincerely,

                                   Frank A. Ciccotto
                                   Frank A. Ciccotto
                                   Vice President
<PAGE>


                                                              Exhibit 23

                Letterhead of Kenny S&P Evaluation Services
                   (a division of J.J. Kenny Co., Inc.)

                             January 22, 1997

Prudential Securities Incorporated
1 New York Plaza
New York, NY  10292


               Re:  National Municipal Trust,
                    Post-Effective Amendment No. 6
                    Multistate Series 32          

Gentlemen:

          We have examined the post-effective Amendment to the Registration
Statement File No. 33-36167 for the above-captioned trust.  We hereby
acknowledge that Kenny S&P Evaluation Services, a division of J.J. Kenny
Co., Inc. is currently acting as the evaluator for the trust.  We hereby
consent to the use in the Registration Statement of the references to Kenny
S&P Evaluation Services, a division of J.J. Kenny Co., Inc. as evaluator.

          In addition, we hereby confirm that the ratings indicated in the
above-referenced Amendment to the Registration Statement for the respective
bonds comprising the trust portfolio are the ratings currently indicated in
our KENNYBASE database as of the date of the evaluation report.

          You are hereby authorized to file a copy of this letter with the
Securities and Exchange Commission.

                                   Sincerely,

                                   Frank A. Ciccotto
                                   Frank A. Ciccotto
                                   Vice President


<TABLE> <S> <C>


<ARTICLE>                    6

<LEGEND>                     THE SCHEDULE CONTAINS SUMMARY FINANCIAL
                             INFORMATION EXTRACTED FROM THE FINANCIAL
                             STATEMENTS FOR NATIONAL MUNICIPAL TRUST
                             SERIES 129 AND IS QUALIFIED IN ITS
                             ENTIRETY BY REFERENCE TO SUCH FINANCIAL
                             STATEMENTS

</LEGEND>

<RESTATED>                   

<CIK>                        0000866371

<NAME>                       NATIONAL MUNICIPAL TRUST
                             SERIES 129

<SERIES>                     

<NAME>                       NATIONAL MUNICIPAL TRUST               
                             SERIES 

<NUMBER>                     129

<MULTIPLIER>                 1

<PERIOD-TYPE>                YEAR

<FISCAL-YEAR-END>            Sep-30-1996

<PERIOD-START>               Oct-1-1995

<PERIOD-END>                 Sep-30-1996

<INVESTMENTS-AT-COST>        7,984,820 

<INVESTMENTS-AT-VALUE>       8,779,090 

<RECEIVABLES>                178,436 

<ASSETS-OTHER>               1,879 

<OTHER-ITEMS-ASSETS>         0 

<TOTAL-ASSETS>               8,959,405 

<PAYABLE-FOR-SECURITIES>     0 

<SENIOR-LONG-TERM-DEBT>      0 

<OTHER-ITEMS-LIABILITIES>    4,815 

<TOTAL-LIABILITIES>          4,815 

<SENIOR-EQUITY>              0 

<PAID-IN-CAPITAL-COMMON>     7,984,836 

<SHARES-COMMON-STOCK>        9,788 

<SHARES-COMMON-PRIOR>        9,976 

<ACCUMULATED-NII-CURRENT>    175,484 

<OVERDISTRIBUTION-NII>       0 

<ACCUMULATED-NET-GAINS>      0 

<OVERDISTRIBUTION-GAINS>     0 

<ACCUM-APPREC-OR-DEPREC>     794,270 

<NET-ASSETS>                 8,954,590 

<DIVIDEND-INCOME>            0 

<INTEREST-INCOME>            653,804 

<OTHER-INCOME>               5,414 

<EXPENSES-NET>               12,931 

<NET-INVESTMENT-INCOME>      646,287 

<REALIZED-GAINS-CURRENT>     26,820 

<APPREC-INCREASE-CURRENT>    (202,470)

<NET-CHANGE-FROM-OPS>        470,637 

<EQUALIZATION>               0 

<DISTRIBUTIONS-OF-INCOME>    639,053 

<DISTRIBUTIONS-OF-GAINS>     0 

<DISTRIBUTIONS-OTHER>        371,326 

<NUMBER-OF-SHARES-SOLD>      0 

<NUMBER-OF-SHARES-REDEEMED>  188 

<SHARES-REINVESTED>          0 

<NET-CHANGE-IN-ASSETS>       (718,457)

<ACCUMULATED-NII-PRIOR>      176,887 

<ACCUMULATED-GAINS-PRIOR>    0 

<OVERDISTRIB-NII-PRIOR>      0 

<OVERDIST-NET-GAINS-PRIOR>   0 

<GROSS-ADVISORY-FEES>        0 

<INTEREST-EXPENSE>           0 

<GROSS-EXPENSE>              0 

<AVERAGE-NET-ASSETS>         0 

<PER-SHARE-NAV-BEGIN>        0 

<PER-SHARE-NII>              0 

<PER-SHARE-GAIN-APPREC>      0 

<PER-SHARE-DIVIDEND>         0 

<PER-SHARE-DISTRIBUTIONS>    0 

<RETURNS-OF-CAPITAL>         0 

<PER-SHARE-NAV-END>          0 

<EXPENSE-RATIO>              0 

<AVG-DEBT-OUTSTANDING>       0 

<AVG-DEBT-PER-SHARE>         0 


</TABLE>

<TABLE> <S> <C>


<ARTICLE>                    6

<LEGEND>                     THE SCHEDULE CONTAINS SUMMARY FINANCIAL
                             INFORMATION EXTRACTED FROM THE FINANCIAL
                             STATEMENTS FOR NATIONAL MUNICIPAL TRUST
                             MULTISTATE SERIES 32 CALIFORNIA TRUST
                             AND IS QUALIFIED IN ITS ENTIRETY BY
                             REFERENCE TO SUCH FINANCIAL STATEMENTS
</LEGEND>

<RESTATED>                   

<CIK>                        0000866143


<NAME>                       NATIONAL MUNICIPAL TRUST               
                             MULTISTATE SERIES 32 CALIFORNIA TRUST
<SERIES>

<NAME>                       NATIONAL MUNICIPAL TRUST               
                             MULTISTATE SERIES  CALIFORNIA TRUST

<NUMBER>                     32

<MULTIPLIER>                 1

<PERIOD-TYPE>                YEAR

<FISCAL-YEAR-END>            Sep-30-1996

<PERIOD-START>               Oct-1-1995

<PERIOD-END>                 Sep-30-1996

<INVESTMENTS-AT-COST>        1,493,824 

<INVESTMENTS-AT-VALUE>       1,616,486 

<RECEIVABLES>                28,706 

<ASSETS-OTHER>               11,829 

<OTHER-ITEMS-ASSETS>         0 

<TOTAL-ASSETS>               1,657,021 

<PAYABLE-FOR-SECURITIES>     0 

<SENIOR-LONG-TERM-DEBT>      0 

<OTHER-ITEMS-LIABILITIES>    1,595 

<TOTAL-LIABILITIES>          1,595 

<SENIOR-EQUITY>              0 

<PAID-IN-CAPITAL-COMMON>     1,493,844 

<SHARES-COMMON-STOCK>        2,190 

<SHARES-COMMON-PRIOR>        2,487 

<ACCUMULATED-NII-CURRENT>    38,920 

<OVERDISTRIBUTION-NII>       0 

<ACCUMULATED-NET-GAINS>      0 

<OVERDISTRIBUTION-GAINS>     0 

<ACCUM-APPREC-OR-DEPREC>     122,662 

<NET-ASSETS>                 1,655,426 

<DIVIDEND-INCOME>            0 

<INTEREST-INCOME>            136,159 

<OTHER-INCOME>               4,327 

<EXPENSES-NET>               3,925 

<NET-INVESTMENT-INCOME>      136,561 

<REALIZED-GAINS-CURRENT>     1,579 

<APPREC-INCREASE-CURRENT>    3,202 

<NET-CHANGE-FROM-OPS>        141,342 

<EQUALIZATION>               0 

<DISTRIBUTIONS-OF-INCOME>    133,963 

<DISTRIBUTIONS-OF-GAINS>     0 

<DISTRIBUTIONS-OTHER>        509,145 

<NUMBER-OF-SHARES-SOLD>      0 

<NUMBER-OF-SHARES-REDEEMED>  297 

<SHARES-REINVESTED>          0 

<NET-CHANGE-IN-ASSETS>       (755,780)

<ACCUMULATED-NII-PRIOR>      45,894 

<ACCUMULATED-GAINS-PRIOR>    0 

<OVERDISTRIB-NII-PRIOR>      0 

<OVERDIST-NET-GAINS-PRIOR>   0 

<GROSS-ADVISORY-FEES>        0 

<INTEREST-EXPENSE>           0 

<GROSS-EXPENSE>              0 

<AVERAGE-NET-ASSETS>         0 

<PER-SHARE-NAV-BEGIN>        0 

<PER-SHARE-NII>              0 

<PER-SHARE-GAIN-APPREC>      0 

<PER-SHARE-DIVIDEND>         0 

<PER-SHARE-DISTRIBUTIONS>    0 

<RETURNS-OF-CAPITAL>         0 

<PER-SHARE-NAV-END>          0 

<EXPENSE-RATIO>              0 

<AVG-DEBT-OUTSTANDING>       0 

<AVG-DEBT-PER-SHARE>         0 


</TABLE>


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