U.S. SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C.
FORM 4
ANNUAL STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP
( ) Check 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
   Clarke, Robert L.
   2900 South Tower Pennzoil Place
   711 Louisiana
   Houston, TX  77002-2781
   USA
2. Issuer Name and Ticker or Trading Symbol
   Centex Construction Products, Inc.
   CXP
3. IRS or Social Security Number of Reporting Person (Voluntary)
   
4. Statement for Month/Year
   May 1996
5. If Amendment, Date of Original (Month/Year)
   
6. Relationship of Reporting Person to Issuer (Check all applicable)
   (X) Director ( ) 10% Owner ( ) Officer (give title below) ( ) Other 
   (specify below)
   
___________________________________________________________________________________________________________________________________ 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 Year |ect(I)| | ___________________________________________________________________________________________________________________________________| Common Stock, par value $0.|5/1/96|P | |800 |A |$14.625 | | | | 01 per share | | | | | | | | | | - -----------------------------------------------------------------------------------------------------------------------------------| Common Stock, par value $0.|5/1/96|P | |1,200 |A |$14.375 |2,000 |D | | 01 per share | | | | | | | | | | - -----------------------------------------------------------------------------------------------------------------------------------| ___________________________________________________________________________________________________________________________________| ___________________________________________________________________________________________________________________________________ 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 | | | |Year |(I)| | ___________________________________________________________________________________________________________________________________| | | | | | | | | | | | | | | | ___________________________________________________________________________________________________________________________________|
Explanation of Responses: SIGNATURE OF REPORTING PERSON \s\ Robert L. Clarke DATE July 9, 1996