SOUTHWESTERN BELL TELEPHONE CO
424B3, 1996-10-04
TELEPHONE COMMUNICATIONS (NO RADIOTELEPHONE)
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                                             Rule 424(b)(3)
                                             File No. 33-49967


PRICING SUPPLEMENT NO.   37    DATED   10/4/96
(To Prospectus Dated August 18, 1993, as supplemented by the Prospectus
Supplement Dated August 18, 1993)

SOUTHWESTERN BELL TELEPHONE COMPANY
Medium-Term Notes, Series C
Due From 9 months or More From Date of Issue


Fixed Rate Note

Trade Date:      10/3/96        Interest Rate Per  7.11%
                                Annum:
                                                   
Settlement       10/8/96        Stated Maturity    10/8/2008
Date:                           Date:

Issue Price (expressed as a percentage of the Principal Amount, before
Agent's discount, if any):       100%

Agent's commission or discount from Issue Price (expressed as a
percentage of the Principal Amount):    0.60%

Regular Interest Payment Dates:    May 15 and November 15

Form of Note: Book Entry           Depository: DTC

Principal amount offered to or through each Agent:

$10,000,000  Goldman, Sachs & Co.,        X   agent       principal
             acting as:                                   
                                                          
             Morgan Stanley & Co.,            agent       principal
             acting as:                                   
                                                          
             Merrill Lynch & Co.,             agent       principal
             acting as:                                   

If acting as principal, the Agents propose to resell the Notes at
varying prices related to prevailing market prices at the time of
resale, as determined by each Agent.  Each Agent will be committed to
take and pay for its respective principal amount of the Notes if any
are taken by such Agent.


Redemption:

X       The Notes are not redeemable prior to the Maturity
        Date.
       
       The Notes are redeemable prior to the Maturity Date at
       the option of the Company on and after ____________ at
       par.
       




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