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                                                                    EXHIBIT 23.2
 
                        CONSENT OF KPMG PEAT MARWICK LLP
 
The Board of Directors and Shareholders
Port St. Lucie National Bank Holding Corp.:
 
     We consent to the use of our report incorporated herein (the Form S-4
Registration Statement of Seacoast Banking Corporation of Florida) by reference
and to the reference to our firm under the heading "Experts" in the Joint Proxy
Statement/Prospectus. Our report refers to a change in the accounting for
mortgage servicing rights to conform with Statement of Financial Accounting
Standards No. 122.
 
                                          /s/ KPMG Peat Marwick LLP
 
   
West Palm Beach, Florida
    
   
March 26, 1997