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
   Kunz, Heidi 
   ITT Industries, Inc.
   4 West Red Oak Lane
   White Plains, NY  10604
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
   9/29/98
5. If Amendment, Date of Original (Month/Year)
   
6. Relationship of Reporting Person(s) to Issuer (Check all applicable)
   ( ) Director ( ) 10% Owner (X) Officer (give title below) ( ) Other
   (specify below)
   Senior Vice President and Chief Financial Officer
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 (RS) (1) |9/29/9|A |V|4,000 |A |(1) |4,000 |D | | |8 | | | | | | | | | - -----------------------------------------------------------------------------------------------------------------------------------| Common Stock (ISP) (2) | | | | | | |615 |I |In Trust | - -----------------------------------------------------------------------------------------------------------------------------------| ___________________________________________________________________________________________________________________________________| ___________________________________________________________________________________________________________________________________ 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) Restricted Stock awarded under the 1994 ITT Industries Incentive Stock Plan pursuant to SEC Rule 16b-3(d). (2) Shares held under the ITT Industries Investment and Savings Plan for Salaried Employees reflecting accumulations through 9/29/98. SIGNATURE OF REPORTING PERSON HEIDI KUNZ DATE 10/1/98