EXHIBIT 23.1 CONSENT OF INDEPENDENT AUDITORS We consent to the incorporation by reference in the following Registration Statements of The Shaw Group Inc.: Form S-8 No. 333-02666 (dated March 25, 1996) Form S-3 No. 333-04570 (dated May 3, 1996) Form S-3 No. 333-30493 (dated July 1, 1997) Form S-8 No. 333-36315 (dated September 24, 1997) Form S-3 No. 333-62757 (dated September 2, 1998) Form S-8 No. 333-87175 (dated September 16, 1999) Form S-3 No. 333-44542 (dated August 25, 2000) Form S-3 No. 333-62848 (dated June 12, 2001) Form S-8 No. 333-62852 (dated June 12, 2001) Form S-8 No. 333-62856 (dated June 12, 2001) Form S-3 No. 333-62978 (dated June 14, 2001) Form S-3 No. 333-84408 (dated March 15, 2002) Form S-3 No. 333-90058 (dated June 7, 2002) Form S-4 No. 333-105347 (dated May 21, 2003) Form S-8 No. 333-105520 (dated May 23, 2003) of our report dated October 17, 2003 with respect to the consolidated financial statements of The Shaw Group Inc. included in this Annual Report (Form 10-K) for the year ended August 31, 2003. /s/ Ernst & Young LLP New Orleans, Louisiana October 17, 2003