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                                                                    Exhibit 23.2

                        INDEPENDENCE AUDITORS' CONSENT
                        ------------------------------


We consent to the incorporation by reference in (a) the Registration Statement
(Form S-8 No. 33-5874), in Post-Effective Amendment No. 1 to the Registration
Statement (Form S-8 No. 2-91176), the Registration Statement (Form S-8 No. 33-
28808) and in the related prospectuses, each pertaining to the CoreStates
Financial Corp Long-Term Incentive Plan, (b) the Registration Statement (Form S-
8 No. 33-32934) and prospectus relating to the CoreStates Savings Plan, (c)the
Registration Statement (Form S-8 No. 33-50324) pertaining to the CoreStates
Financial Corp 1992 Long-Term Incentive Plan, (d) the Registration Statement
(Form S-3 No. 33-57034) and prospectus and prospectus supplement pertaining to
$1,000,000,000 in aggregate amount of Debt Securities issuable by CoreStates
Capital Corp and the related guarantees of the Corporation, and Preferred Stock,
Depository Shares, Common Stock, and Capital Securities, issuable by the
Corporation, (e) the Registration Statement (From S-3 No. 33-54049) and
prospectus and prospectus supplement pertaining to $1,000,000,000 in aggregate
amount of Debt Securities and warrants issuable by CoreStates Capital Corp and
the related guarantees of the Corporation and Preferred Stock, Depository Shares
and Common Stock issuable by the Corporation, (f) the Registration Statement
(Form S-4, as amended by Form S-8, No. 33-48422) and prospectus relating to
shares of the Corporation Common Stock issuable upon the exercise of stock
options, the obligations in respect to which were assumed by the Corporation in
connection with the acquisition of First Peoples Corporation, (g) the
Registration Statement (Form S-3, as amended by Post-Effective Amendment No.
2, No. 33-40717) and prospectus relating to shares of the Corporation Common
Stock issuable pursuant to the CoreStates Dividend Reinvestment and Share
Purchase Plan, (h) the Registration Statement (Form S-4, as amended by Form S-8,
No. 33-51429) and prospectus relating to shares of the Corporation Common Stock
issuable upon the exercise of stock options, the obligation in respect to which
were assumed by the Corporation in connection with the acquisition of
Constellation Bancorp, (i) the Registration Statement (Form S-4, as amended by
Form S-8, No. 33-53539) and prospectus relating to shares of the Corporation
Common Stock issuable upon the exercise of stock options, the obligations in
respect to which were assumed by the Corporation in connection with the
acquisition of Independence Bancorp, Inc., (j) the Registration Statement (Form
S-4, as amended by Form S-8, No. 33-55505) and prospectus relating to shares of
the Corporation Common Stock issuable upon the exercise of stock options, the
obligations in respect to which were assumed by the Corporation in connection
with the acquisition of Germantown Savings Bank, and (k) the Registration
Statement (Form S-4, No. 333-00067 and prospectus relating to shares of the
Corporation Common Stock issuable upon the exercise of stock options, the
obligations in to which were assumed by the Corporation in connection with the
acquisition of Meridian Bancorp, Inc. of our report dated March 16, 1994, except
as to the third paragraph of Note 1 and the last paragraph of Note 16 which are
as of July 19, 1994 relating to the consolidated statements of operations,
changes in shareholders' equity and cash flows of Constellation Bancorp and
subsidiaries for the year ended December 31, 1993.

Our report refers to a restatement of the 1993 financial statements to remove 
certain merger-related charges, and to a change in accounting for postretirement
benefits, other than pensions, income taxes, and certain investments in debt and
equity securities in 1993.  The financial statements referred to above are not 
separately presented in the 1995 Annual Report on Form 10-K of CoreStates 
Financial Corp.


                                                       /s/ KPMG Peat Marwick LLP


Short Hills, New Jersey
March 25, 1996