UNITED STATES SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C. 20549
FORM 4
STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP
( ) Check this box if no longer subject to Section 16.
Form 4 or Form 5 obligations may continue. See Instructions 1(b).
1. Name and Address of Reporting Person
   Burnett, Robert A.
   Regency West 6, Suite 115
   4600 Westown Parkway
   West Des Moines, IA  50266-1042
2. Issuer Name and Ticker or Trading Symbol
   ITT Industries, Inc.
   IIN
3. IRS or Social Security Number of Reporting Person (Voluntary)
   
4. Statement for Month/Year
   May, 1998
5. If Amendment, Date of Original (Month/Year)
   
6. Relationship of Reporting Person(s) to Issuer (Check all applicable)
   (X) Director ( ) 10% Owner ( ) Officer (give title below) ( ) Other
   (specify below)
   
7. Individual or Joint/Group Filing (Check Applicable Line)
   (X) Form filed by One Reporting Person
   ( ) Form filed by More than One Reporting Person
___________________________________________________________________________________________________________________________________ Table I -- Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned | ___________________________________________________________________________________________________________________________________| 1. Title of Security |2. |3. |4.Securities Acquired (A) |5.Amount of |6.Dir |7.Nature of Indirect | | Transaction | or Disposed of (D) | Securities |ect | Beneficial Ownership | | | | | Beneficially |(D)or | | | | | | | A/| | Owned at |Indir | | | Date |Code|V| Amount | D | Price | End of Month |ect(I)| | ___________________________________________________________________________________________________________________________________| Common Stock | | | | | | |2,000 |D | | - -----------------------------------------------------------------------------------------------------------------------------------| Common Stock (DRIP) (1) | | | | | | |349 |D | | - -----------------------------------------------------------------------------------------------------------------------------------| Common Stock (RS) (2) |5/14/9|A |V|1,336 |A |$37.41 |4,180 |D | | |8 | | | | | | | | | - -----------------------------------------------------------------------------------------------------------------------------------| ___________________________________________________________________________________________________________________________________| ___________________________________________________________________________________________________________________________________ Table II -- Derivative Securitites Acquired, Disposed of, or Beneficially Owned | ___________________________________________________________________________________________________________________________________| 1.Title of Derivative |2.Con- |3. |4. |5.Number of De |6.Date Exer|7.Title and Amount |8.Price|9.Number |10.|11.Nature of| Security |version |Transaction | rivative Secu |cisable and| of Underlying |of Deri|of Deriva |Dir|Indirect | |or Exer | | | rities Acqui |Expiration | Securities |vative |tive |ect|Beneficial | |cise | | | red(A) or Dis |Date(Month/| |Secu |Securities |(D)|Ownership | |Price of| | | posed of(D) |Day/Year) | |rity |Benefi |or | | |Deriva- | | | |Date |Expir| | |ficially |Ind| | |tive | | | | A/|Exer-|ation| Title and Number | |Owned at |ire| | |Secu- | | | | | D |cisa-|Date | of Shares | |End of |ct | | |rity |Date |Code|V| Amount | |ble | | | |Month |(I)| | ___________________________________________________________________________________________________________________________________| | | | | | | | | | | | | | | | ___________________________________________________________________________________________________________________________________|
Explanation of Responses: (1) Shares acquired under the ITT Industries, Inc. Dividend Reinvestment Plan as of 5/14/98. (2) Shares granted in lieu of annual retainer fee pursuant to the ITT Industries, Inc. 1996 Restricted Stock Plan for Non-Employee Directors. SIGNATURE OF REPORTING PERSON ROBERT A. BURNETT DATE 5/18/98