SCHEDULE 13G  
  
Amendment No. 5  
Centex Construction Products  
Common Stock  
Cusip # 15231R109  
 
 
Cusip # 15231R109  
Item 1:	Reporting Person - FMR Corp.  
Item 4:	Commonwealth of Massachusetts  
Item 5:	None  
Item 6:	None  
Item 7:	676,500  
Item 8:	None  
Item 9:	676,500  
Item 11:	3.186%  
Item 12:	HC   
  
  
 
 
Cusip # 15231R109  
Item 1:	Reporting Person - Edward C. Johnson 3d   
Item 4:	United States of America  
Item 5:	None  
Item 6:	None  
Item 7:	676,500  
Item 8:	None  
Item 9:	676,500  
Item 11:	3.186%  
Item 12:	IN   
  
 
 
Cusip # 15231R109  
Item 1:	Reporting Person - Abigail P. Johnson   
Item 4:	United States of America  
Item 5:	None  
Item 6:	None  
Item 7:	676,500  
Item 8:	None  
Item 9:	676,500  
Item 11:	3.186%  
Item 12:	IN   
  
 
 
SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS  
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)  
  
  
Item 1(a).	Name of Issuer:  
  
		Centex Construction Products  
  
Item 1(b).	Name of Issuer's Principal Executive Offices:  
  
		3710 Rawlins, Suite 1600, Suite 1600  
		Dallas, TX  75219-2561  
  
Item 2(a).	Name of Person Filing:   
  
		FMR Corp.  
  
Item 2(b).	Address or Principal Business Office or, if None, Residence:  
  
		82 Devonshire Street, Boston, Massachusetts  02109  
  
Item 2(c).	Citizenship:  
  
		Not applicable  
  
Item 2(d).	Title of Class of Securities:  
  
		Common Stock  
  
Item 2(e).	CUSIP Number:    
  
		15231R109  
  
Item 3.	This statement is filed pursuant to Rule 13d-1(b) or 13d-2(b) and the  
person filing, FMR Corp., is a parent holding company in accordance  
with Section 240.13d-1(b)(ii)(G).  (Note:  See Item 7).  
  
Item 4.	Ownership  
  
	(a)	Amount Beneficially Owned: 
	676,500  
  
	(b)	Percent of Class: 
	3.186%  
  
	(c)	Number of shares as to which such person has:    
  
	(i)	sole power to vote or to direct the vote: 
	None  
  
	(ii)	shared power to vote or to direct the vote: 
	None  
  
	(iii)	sole power to dispose or to direct the disposition of: 
	676,500  
  
	(iv)	shared power to dispose or to direct the disposition of: 
	None  
  
  
 
 
Item 5.	Ownership of Five Percent or Less of a Class.  
  
	If this statement is being filed to report the fact that as of  
the date hereof, the reporting person has ceased to be the  
beneficial owner of more than five percent of the class of  
securities, check the following (X).  
  
Item 6.	Ownership of More than Five Percent on Behalf of Another Person.  
  
	Not applicable.  
  
Item 7.	Identification and Classification of the Subsidiary Which Acquired  
the Security Being Reported on By the Parent Holding Company.  
  
	See attached Exhibit(s) A and B.  
  
Item 8.	Identification and Classification of Members of the Group.  
  
	Not applicable, see attached Exhibit A.   
  
Item 9.	Notice of Dissolution of Group.  
  
	Not applicable.  
  
Item 10.	Certification.  
  
	Inasmuch as the reporting persons are no longer the beneficial  
owners of more than five percent of the number of shares  
outstanding, the reporting persons have no further reporting  
obligation under Section 13(d) of the Securities and Exchange  
Commission thereunder, and the reporting persons have no  
obligation to amend this Statement if any material change  
occurs in the facts set forth herein.  
  
  
Signature  
  
	After reasonable inquiry and to the best of my knowledge and  
belief, I certify that the information set forth in this  
Schedule 13G in connection with FMR Corp.'s beneficial  
ownership of the common stock of Centex Construction Products  
at September 30, 1998 is true, complete and correct.   
  
  
	October 9, 1998	  
Date  
  
  
  
	/s/Francis V. Knox  
Signature  
  
  
  
	Francis V. Knox	  
Compliance Officer - FMR Corp.  
  
  
 
 
SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS  
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)  
  
	Pursuant to the instructions in Item 7 of Schedule 13G, Fidelity  
Management & Research Company ("Fidelity"), 82 Devonshire Street, Boston,  
Massachusetts 02109, a wholly-owned subsidiary of FMR Corp. and an investment  
adviser registered under Section 203 of the Investment Advisers Act of 1940,  
is the beneficial owner of 676,500 shares or 3.187% of the common stock  
outstanding of Centex Construction Products ("the Company") as a result of  
acting as investment adviser to various investment companies registered under  
Section 8 of the Investment Company Act of 1940.    
  
	Edward C. Johnson 3d, FMR Corp., through its control of Fidelity, and the  
funds each has sole power to dispose of the 676,500 shares owned by the Funds.  
  
	Neither FMR Corp. nor Edward C. Johnson 3d, Chairman of FMR Corp., has  
the sole power to vote or direct the voting of the shares owned directly by  
the Fidelity Funds, which power resides with the Funds' Boards of Trustees.   
Fidelity carries out the voting of the shares under written guidelines  
established by the Funds' Boards of Trustees.  
  
	Members of the Edward C. Johnson 3d family and trusts for their benefit  
are the predominant owners of Class B shares of common stock of FMR Corp.,  
representing approximately 49% of the voting power of FMR Corp.  Mr. Johnson  
3d owns 12.0% and Abigail Johnson owns 24.5% of the aggregate outstanding  
voting stock of FMR Corp.  Mr. Johnson 3d is Chairman of FMR Corp. and Abigail  
P. Johnson is a Director of FMR Corp.  The Johnson family group and all other  
Class B shareholders have entered into a shareholders' voting agreement under  
which all Class B shares will be voted in accordance with the majority vote of  
Class B shares.  Accordingly, through their ownership of voting common stock  
and the execution of the shareholders' voting agreement, members of the  
Johnson family may be deemed, under the Investment Company Act of 1940, to  
form a controlling group with respect to FMR Corp.    
 
 
SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS  
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)  
RULE 13d-1(f)(1)  AGREEMENT  
  
	The undersigned persons, on October 9, 1998, agree and consent to the  
joint filing on their behalf of this Schedule 13G in connection with their  
beneficial ownership of the common stock of Centex Construction Products at  
September 30, 1998.  
	FMR Corp.  
	By	/s/Francis V. Knox  
Francis V. Knox 
Compliance Officer - FMR Corp.  
	Edward C. Johnson 3d  
	By	/s/Francis V. Knox  
Francis V. Knox 
Duly authorized under Power of  
Attorney  
dated October 1, 1998, by and  
on behalf  
of Eric D. Roiter  
	Abigail P. Johnson  
	By	/s/Francis V. Knox  
Francis V. Knox 
Duly authorized under Power of  
Attorney  
dated October 1, 1998, by and  
on behalf  
of Eric D. Roiter  
	Fidelity Management & Research Company  
	By	/s/Francis V. Knox  
Francis V. Knox 
Vice President