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                                                                      EXHIBIT 23
 
                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS
 
To ITT Industries, Inc.:
 
     As independent public accountants, we hereby consent to the incorporation
of our report included in this Form 10-K, into the Company's previously filed
Registration Statements on (i) Form S-3 (File No. 33-45756) and (ii) Form S-8
(File Nos. 33-53771, 333-1109, 333-64161, and 333-66293).
 
                                          ARTHUR ANDERSEN LLP
 
Stamford, Connecticut
March 26, 1999