OPPENHEIMER ZERO COUPON US TREASURIES TRUST SERIES B
ARS, 1994-03-31
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                            Oppenheimer Zero Coupon
                             U.S. Treasuries Trust
                                   Series B
                     Annual Report dated December 31, 1993


<PAGE>
Oppenheimer Zero Coupon U.S. Treasuries Trust, Series B
Independent Auditors' Report 
- ---------------------------------------------------------------------------

We  have  audited  the accompanying  statements  of  condition,  including  the
related portfolios of  the 1996 Series and  the 2006 Series of  the Oppenheimer
Zero  Coupon U.S. Treasuries Trust,  Series B, as of December  31, 1993 and the
related statements of operations and changes in net  assets for the years ended
December  31,  1993,  1992  and 1991.    These  financial  statements  are  the
responsibility of the Trust's management.  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 securities owned at  December 31, 1993  by
correspondence  with the  custodian.   An  audit  also includes  assessing  the
accounting  principles used  and significant  estimates made by  management, 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  net  assets  of  Oppenheimer  Zero  Coupon  U.S.
Treasuries  Trust,  Series  B at  December  31,  1993  and the  results  of its
operations  and changes  in its  net assets  for the  above stated  periods, in
conformity with generally accepted accounting principles.

DELOITTE & TOUCHE
Denver, Colorado
February 8, 1994










































                                                                   76

<PAGE>

Oppenheimer Zero Coupon U.S. Treasuries Trust, Series B
Statements of Condition as of December 31, 1993

<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------------------------------------------------------
                                                                                                    1996                 2006 
                                                                                                   Series               Series
- -------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                               <C>                <C>
Trust Property         
Investment in marketable securities (see Portfolios) - Note 1 . . . . . . . . . . . . . . .       $1,829,429         $1,480,623
Cash  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            2,785              3,392
Accrued interest receivable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              113                544
                                                                                                  ----------         ----------
          Total trust property  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        1,832,327          1,484,559
Less Liabilities  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            2,898              3,936
                                                                                                  ----------         ----------
Net Assets - Note 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $1,829,429         $1,480,623
                                                                                                  ==========         ==========
Units Outstanding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        2,004,095          3,220,427
                                                                                                  ==========         ==========
Unit Value  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $   .91285         $   .45976
                                                                                                  ==========         ==========
</TABLE>

See Notes to Financial Statements.












































                                                                   77


<PAGE>


Oppenheimer Zero Coupon U.S. Treasuries Trust, Series B
Statements of Operations
For the Years Ended December 31, 1993, 1992 and 1991

<TABLE>
<CAPTION>
- -----------------------------------------------------------------------------------------------------------------------------
                                                                                                     1996 Series     
                                                                                    ------------------------------------------
                                                                                      1993               1992            1991  
- ------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                 <C>              <C>              <C>
Investment Income:
Interest Income . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $    896         $  1,166         $  1,204 
Accretion of original issue discount  . . . . . . . . . . . . . . . . . . . .        126,935          155,364          165,867
Trustee's fees and expenses - Note 3  . . . . . . . . . . . . . . . . . . . .           (896)          (1,166)          (1,204)
                                                                                     -------          --------        --------
Net investment income . . . . . . . . . . . . . . . . . . . . . . . . . . . .        126,935          155,364          165,867 
Realized and unrealized gain on Investments
Realized gain on securities transactions  . . . . . . . . . . . . . . . . . .              -           37,929           43,717 
Net change in unrealized appreciation of investments  . . . . . . . . . . . .          8,942          (28,649)         143,476 
                                                                                     -------          --------        --------
Net gain on investments . . . . . . . . . . . . . . . . . . . . . . . . . . .          8,942            9,280          187,193 
                                                                                      ------          --------        --------
Net Increase in Net Assets Resulting from Operations  . . . . . . . . . . . .       $135,877         $164,644         $353,060 
                                                                                    ========         ========         ========

                                                                                                      2006 Series      
                                                                                    ------------------------------------------
                                                                                      1993               1992            1991  
- ------------------------------------------------------------------------------------------------------------------------------
Investment Income:
Interest Income . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $  1,439         $  1,500         $  1,788 
Accretion of original issue discount  . . . . . . . . . . . . . . . . . . . .         94,089           94,747          109,891 
Trustee's fees and expenses - Note 3  . . . . . . . . . . . . . . . . . . . .         (1,439)          (1,500)          (1,788)
                                                                                     -------          --------        --------
Net investment income . . . . . . . . . . . . . . . . . . . . . . . . . . . .         94,089           94,747          109,891 
Realized and Unrealized Gain (Loss) on Investments
Realized gain (loss) on securities transactions . . . . . . . . . . . . . . .          8,786            6,458          150,465 
Net change in unrealized appreciation of investments  . . . . . . . . . . . .        176,267           26,521           27,613 
                                                                                     -------         --------         --------

Net gain on investments . . . . . . . . . . . . . . . . . . . . . . . . . . .        185,053           32,979          178,078 
                                                                                     -------         --------         --------
Net Increase in Net Assets Resulting from Operations  . . . . . . . . . . . .       $279,142         $127,726         $287,969 
                                                                                    ========         ========         ========
                                                                                                                               
</TABLE>

See Notes to Financial Statements.





























                                                                   78



<PAGE>


Oppenheimer Zero Coupon U.S. Treasuries Trust, Series B
Statements of Changes in Net Assets
For the Years Ended December 31, 1993, 1992 and 1991

<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------------------------------------------------------
                                                                                                    1996 Series                 
                                                                                   --------------------------------------------
                                                                                      1993             1992              1991  
- -------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                <C>           <C>                 <C>
Operations:
  Net investment income   . . . . . . . . . . . . . . . . . . . . . . . . . .      $ 126,935     $  155,364          $  165,867
  Realized gain on securities transactions  . . . . . . . . . . . . . . . . .              -         37,929              43,717
  Net unrealized appreciation (depreciation) of investments   . . . . . . . .          8,942        (28,649)            143,476
                                                                                   ---------     ----------          ----------
 
  Net increase in net assets resulting from operations  . . . . . . . . . . .        135,877        164,644             353,060
Capital Share Transactions - Note 4
  Issuance of Units   . . . . . . . . . . . . . . . . . . . . . . . . . . . .              -              -                   -
  Redemption of Units   . . . . . . . . . . . . . . . . . . . . . . . . . . .              -       (572,665)           (640,227)
                                                                                   ---------     ----------          ----------
  Net increase (decrease) in net assets   . . . . . . . . . . . . . . . . . .        135,877       (408,021)           (287,167)
Net Assets:
  Beginning of period   . . . . . . . . . . . . . . . . . . . . . . . . . . .      1,693,552      2,101,573           2,388,740 
                                                                                   ---------     ----------          ----------
  End of period   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $1,829,429     $1,693,552          $2,101,573 
                                                                                  ==========     ==========          ==========

                                                                                                  2006 Series                 
                                                                                 ----------------------------------------------
                                                                                      1993            1992               1991  
- -------------------------------------------------------------------------------------------------------------------------------
Operations:
  Net investment income   . . . . . . . . . . . . . . . . . . . . . . . . . .     $   94,089     $   94,747          $  109,891 
  Realized  gain (loss) on securities transactions  . . . . . . . . . . . . .          8,786          6,458             150,465 
  Net unrealized appreciation of investments  . . . . . . . . . . . . . . . .        176,267         26,521              27,613 
                                                                                  ----------     ----------          ----------
  Net increase in net assets resulting from operations  . . . . . . . . . . .        279,142        127,726             287,969 
Capital Share Transactions - Note 4
  Issuance of Units   . . . . . . . . . . . . . . . . . . . . . . . . . . . .              -              -           2,533,089 
  Redemption of Units   . . . . . . . . . . . . . . . . . . . . . . . . . . .        (51,720)      (210,213)         (3,668,712)
                                                                                  ----------     ----------          ----------

  Net increase (decrease) in net assets   . . . . . . . . . . . . . . . . . .        227,422        (82,487)           (847,654)
                                                                                  ----------     ----------          ----------
Net Assets:
  Beginning of period   . . . . . . . . . . . . . . . . . . . . . . . . . . .      1,253,201      1,335,688           2,183,342 
                                                                                   ---------     ----------          ----------
  End of period   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $1,480,623     $1,253,201          $1,335,688 
                                                                                  ==========     ==========          ==========
</TABLE>

See Notes to Financial Statements.



























                                                                   79


<PAGE>

Oppenheimer Zero Coupon U.S. Treasuries Trust, Series B
Notes to Financial Statements
For the Years Ended December 31, 1993, 1992 and 1991
- ---------------------------------------------------------------------------

1.  Significant Accounting Policies
The  Fund is  registered under  the Investment  Company Act of  1940 as  a unit
investment  trust.   Units of  the Fund  are sold  only to  separate investment
accounts of life insurance  companies to fund variable life insurance policies.
The Fund's  sponsor is Oppenheimer Funds Distributor, Inc.   The following is a
summary of significant  accounting policies consistently followed by  the Fund.
The policies are in conformity with generally accepted accounting principles.

(a)    Securities are stated at value  as determined by the Evaluator based    
       on bid side evaluations for the securities.

(b)    Cost of securities  have been adjusted  to include the accretion  of    
       original issue discount on the Stripped Treasury Securities.

2.     Net Capital

<TABLE>
<CAPTION>
                                                                                                    December 31,  
                                                                                           -------------------------------
                                                                                      1993            1992              1991   
                                                                                      ----            ----              ----
<S>                                                                               <C>            <C>                <C>
1996 Series 
- -----------
Cost of 2,004,095, 2,004,095 and 2,686,786 Units,
  respectively  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $  991,255     $  991,255         $1,323,580 
Less sales charge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         16,009         16,008             20,351 
                                                                                  ----------     ----------         ----------
Net amount applicable to certificateholders . . . . . . . . . . . . . . . . .        975,246        975,247          1,303,229 
Accretion of original issue discount  . . . . . . . . . . . . . . . . . . . .        724,869        597,933            649,323 
Net unrealized appreciation of investments  . . . . . . . . . . . . . . . . .        129,314        120,372            149,021 
                                                                                  ----------     ----------         ----------
Net capital applicable to certificateholders  . . . . . . . . . . . . . . . .     $1,829,429     $1,693,552         $2,101,573 
                                                                                  ==========     ==========         ==========

2006 Series
- -----------
Cost of 3,220,427, 3,345,950, and 3,988,629 Units,
  respectively  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $  934,290     $  971,084         $1,159,137 
Less sales charge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         11,338         12,120             15,778 
                                                                                  ----------     ----------         ----------
Net amount applicable to certificateholders . . . . . . . . . . . . . . . . .        922,952        958,964          1,143,359 
Accretion of original issue discount  . . . . . . . . . . . . . . . . . . . .        248,789        161,622             86,235 
Net unrealized appreciation of investments  . . . . . . . . . . . . . . . . .        308,882        132,615            106,094 
                                                                                  ----------     ----------         ----------
Net capital applicable to certificateholders  . . . . . . . . . . . . . . . .     $1,480,623     $1,253,201         $1,335,688 
                                                                                  ==========     ==========         ========== 
</TABLE>




























                                                                   80


<PAGE>

Oppenheimer Zero Coupon U.S. Treasuries Trust, Series B
Notes to Financial Statements 
For the Years Ended December 31, 1993, 1992 and 1991 (Concluded)
- ---------------------------------------------------------------------------

3.     Expenses 
Trustee's  fees and  other expenses  incurred by  the Fund  are limited  to the
amount of income generated by  the Interest Bearing Treasury Securities in each
Series.  Any excess expenses are assumed by the Sponsor.

4.     Capital Share Transactions

Issuance
Additional Units were issued by the Fund during the periods  ended December 31,
1993, 1992 and 1991 as follows:
<TABLE>
<CAPTION>
                                                                                        1993            1992               1991
                                                                                        ----            ----               ----
<S>                                                                                      <C>              <C>         <C>
       1996   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             -                -                  -
       2006   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             -                -          8,836,838
</TABLE>

Redemption
During 1993, 1992 and 1991, the Sponsor elected to redeem units  of the Fund as
follows:  
<TABLE>
<CAPTION>
                                                                                        1993            1992               1991
                                                                                        ----            ----               ----
<S>                                                                                  <C>             <C>             <C>  
       1996   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             -          682,691            918,580
       2006   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        125,523         642,679         12,753,162
</TABLE>

The total proceeds were remitted to the sponsor.

5.     Income Taxes
All  income received, accretion of  original issue discount, expenses paid, and
realized gains and  losses on securities  sold are attributable to  the holder,
on a pro  rata basis, for  Federal income tax purposes  in accordance with  the
grantor trust rules of the Internal Revenue Code.
At December  31, 1993, the cost of investment securities for Federal income tax
purposes  was approximately equivalent to  the adjusted  cost as shown  in each
Series' portfolio.

6.     Distributions
It  is anticipated that each  Series will not make  any distributions until the
first business  day following  the  maturity of  its  holding in  the  Stripped
Treasury Securities which are non-interest bearing.



























                                       81

<PAGE>


Oppenheimer Zero Coupon U.S. Treasuries Trust, Series B
Portfolios as of December 31, 1993

<TABLE>
<CAPTION>
- -----------------------------------------------------------------------------------------------------------------------------
Series No. and                                             Coupon                      Face           Adjusted
Title of Securities                                         Rates     Maturities      Amount          Cost (+)       Value (*)
- ------------------------------------------------------------------------------------------------------------------------------
<S>                                                        <C>         <C>        <C>               <C>             <C>
1996 Series
- -----------
  Stripped Treasury Securities  . . . . . . . . . . .          0%       2-15-96   $1,996,283        $1,691,145      $1,820,594
  U.S. Treasury Notes . . . . . . . . . . . . . . . .      11.50%      11-15-95        7,812             8,970           8,835
                                                                                  ----------        ----------      ----------
        Total   . . . . . . . . . . . . . . . . . . .                             $2,004,095        $1,700,115      $1,829,429
                                                                                  ==========        ==========      ==========
2006 Series
- -----------
  Stripped Treasury Securities  . . . . . . . . . . .          0%       2-15-06   $3,207,000        $1,155,440      $1,461,876
  U.S. Treasury Notes . . . . . . . . . . . . . . . .      10.75%       8-15-05       13,427            16,301          18,747
                                                                                  ----------        ----------      ----------
       Total  . . . . . . . . . . . . . . . . . . . .                             $3,220,427        $1,171,741      $1,480,623
                                                                                  ==========        ==========      ==========
<FN>
- -------------------------
(+) See Notes to Financial Statements.
(*) The aggregate values based on offering side evaluations at December 31, 1993 were as follows:

                            Series                               Amount
                            ------                               ------
                              1996 . . . . . . . . . . .     $1,830,943
                              2006 . . . . . . . . . . .      1,487,507
</TABLE>

See Notes to Financial Statements.







































                                                                   82

<PAGE>

Investment Summary of Series B+
as of December 31, 1993
- ---------------------------------------------------------------------------

Series B  is  a  series unit  investment  trust consisting  of  three  separate
series,  each with its own  portfolio.  As of December 31,  1993, there are two
series  which are  still outstanding,  these are the  1996 Series and  the 2006
Series  designated for  the maturities  of their  underlying Portfolios.   (See
Portfolios herein).
<TABLE>
<CAPTION>
                                                                                                   1996             2006      
                                                                                                  Series           Series     
- -----------------------------------------------------------------------------------------------------------------------------
<S>                                                                                          <C>                <C>
Face Amount of Securities . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          $ 2,004,095        $ 3,220,427   
Number of Units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            2,004,095          3,220,427   
Fractional Undivided Interest in Fund Represented by Each Unit  . . . . . . . . . .          1/2,004,095 th     1/3,220,427 th
Offering Price per 1,000 Units***
    Aggregate offering side evaluation of Securities in Fund*   . . . . . . . . . .          $ 1,830,943.00     $ 1,487,507.00
                                                                                             --------------     --------------
    Divided by number of Units times 1,000  . . . . . . . . . . . . . . . . . . . .          $       913.60     $       461.90
    Plus the applicable transaction charge**  . . . . . . . . . . . . . . . . . . .                    4.57               6.93
                                                                                             --------------     --------------
    Offering Price per 1,000 Units  . . . . . . . . . . . . . . . . . . . . . . . .          $       918.17     $       468.83
                                                                                             ==============     ==============
Sponsor's Repurchase Price per 1,000 Units (based on offering side evaluation of
  underlying Securities)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          $       913.60     $       461.90
Redemption Price per 1,000 Units (based on bid side evaluation of underlying
  Securities)**** . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          $       912.85     $       459.76
Calculation of Estimated Net Annual Interest Income per 1,000 Units Received in
  Cash by the Fund
    Gross annual income per 1,000 Units   . . . . . . . . . . . . . . . . . . . . .          $         0.45     $         0.45
    Less estimated annual expense per 1,000 Units   . . . . . . . . . . . . . . . .                    0.45               0.45
                                                                                             --------------     --------------
    Net annual income per 1,000 Units   . . . . . . . . . . . . . . . . . . . . . .          $         0.00     $         0.00
                                                                                             ==============     ==============
Distributions
    Distributions will be made on the first business day following the maturity
      of each Security in a Series to holders of record on the business day
      immediately preceding the date of such distribution.
Trustee's Annual Fee
    Per $1,000 face amount of underlying Securities (see Expenses and Charges)    
                                                                                             $         0.35     $         0.35
Evaluator's Fee for Each Evaluation
    $.35 for each issue of underlying Securities. 
      Treating separate maturities as separate issues.
Evaluation Time
    3:30 P.M. New York Time
Mandatory Termination Date
    January 1, 2036
Minimum Value of Fund
    Trust Indenture may be terminated with respect to any Series if the value of
      that Series is less than 40% of the face amount of Securities.
<FN>
- ----------------
    +  The Indenture was signed and the initial deposit was made as of January 27, 1986.
    *  The aggregate offering side evaluation of the obligations is  determined by the Evaluator on the basis of current offering 
       prices for the obligations.
   **  The transaction  charges currently applicable to the 1996 Series and the 2006 Series are .50%  and 1.50% of their respective
       Offering Price per 1,000 Units (.503% and 1.523%, respectively, of the net amount invested in Securities).
  ***  These figures are computed by dividing the aggregate offering side evaluation of the underlying Securities in the particular
       Series (the price at which they could be purchased directly by the public if they  were available) by the number of Units of 
       the Series outstanding, multiplying the result times 1,000 and adding  the applicable transaction charges described in the  
       preceding footnote.  These figures assume a  purchase of 1,000 Units.  The  price of a single Unit, or any multiple  thereof,
       is calculated by dividing the Offering Price per 1,000 Units above by 1,000 and multiplying by the number of Units.
 ****  Figures shown  are $5.32 and  $9.07 less than  the Offering Price  per 1,000 Units and  $0.75 and $2.14  less than  the 
       Sponsor's Repurchase Price per 1,000 Units, with respect to the 1996 Series and the 2006 Series, respectively.
</TABLE>


















                                                                   83




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