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
   Jones, Jr., Richard D.
   3710 Rawlins
   Suite 1600
   Dallas, TX  75219
   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
   03/31/99
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)
   President and Chief Operating 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


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 Table I -- Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned                                                 |
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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, par value $0.|3/12/9|M   | |3500              |A  |$12.0000   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/12/9|S   | |3500              |D  |$34.3589   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/15/9|M   | |2300              |A  |$12.0000   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/15/9|S   | |2300              |D  |$34.3370   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/16/9|M   | |2040              |A  |$12.0000   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/16/9|S   | |2040              |D  |$34.3021   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/16/9|M   | |960               |A  |$12.0000   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/16/9|S   | |960               |D  |$34.3021   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/18/9|M   | |8100              |A  |$12.0000   |                   |      |                           |
01 per share               |9     |    | |                  |   |           |                   |      |                           |
- -----------------------------------------------------------------------------------------------------------------------------------|
Common Stock, par value $0.|3/18/9|S   | |8100              |D  |$34.3133   |1991 (1)           |I     |CCP Profit Sharing & Retire|
01 per share               |9     |    | |                  |   |           |                   |      |ment Plan                  |
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 Table II -- Derivative Securitites Acquired, Disposed of, or Beneficially Owned                                                   |
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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)|            |
___________________________________________________________________________________________________________________________________|
                                                                            
Option Right to Buy   |$12.0000|3/12/|M   | |3500       |D  |4/1/9|6/3/2|Common Stock|       |       |            |   |            |
                      |        |99   |    | |           |   |8    |004  |            |       |       |            |   |            |
- -----------------------------------------------------------------------------------------------------------------------------------|
Option Right to Buy   |$12.0000|3/15/|M   | |2300       |D  |4/1/9|6/3/2|Common Stock|       |       |            |   |            |
                      |        |99   |    | |           |   |8    |004  |            |       |       |            |   |            |
- -----------------------------------------------------------------------------------------------------------------------------------|
Option Right to Buy   |$12.0000|3/16/|M   | |2040       |D  |4/1/9|10/27|Common Stock|       |       |            |   |            |
                      |        |99   |    | |           |   |8    |/2004|            |       |       |            |   |            |
- -----------------------------------------------------------------------------------------------------------------------------------|
Option Right to Buy   |$12.0000|3/16/|M   | |960        |D  |4/1/9|6/3/2|Common Stock|       |       |            |   |            |
                      |        |99   |    | |           |   |8    |004  |            |       |       |            |   |            |
- -----------------------------------------------------------------------------------------------------------------------------------|
Option Right to Buy   |$12.0000|3/18/|M   | |8100       |D  |4/1/9|10/27|Common Stock|       |       |0           |   |            |
                      |        |99   |    | |           |   |8    |/2004|            |       |       |            |   |            |
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                      |        |     |    | |           |   |     |     |            |       |       |            |   |            |
___________________________________________________________________________________________________________________________________|

Explanation of Responses:
(1) Number of shares owned as of March 31, 1999 by Trustee of Centex 
Construction Products, Inc. Profit Sharing and Retirement Plan based on 
most recent Plan information available to Reporting Person.  Number of shares 
has been rounded to the nearest whole number.
SIGNATURE OF REPORTING PERSON
/s/ Richard D. Jones, Jr.
DATE
April 1, 1999