<PAGE>

                                                                      Exhibit 24
                                                                     Page 1 of 5



                                  POWER OF ATTORNEY



KNOW ALL MEN BY THESE PRESENTS:

     That the undersigned hereby irrevocably constitutes and appoints RHYS J. 
BEST, CHARLES J. KESZLER and ROBERT F. SPEARS, or any of them, as the true 
and lawful agents and attorneys-in-fact of the undersigned (the 
"Attorneys-in-Fact"), each with full power to appoint a substitute or 
substitutes to act hereunder, to execute and deliver for and on behalf of the 
undersigned the Annual Report of Lone Star Technologies, Inc. on Form 10-K 
(including any amendments thereto) to be filed with the Securities and 
Exchange Commission pursuant to the Securities Exchange Act of 1934 for the 
fiscal year ended December 31, 1998. The undersigned hereby ratifies and 
confirms all that the Attorneys-in-Fact, or any substitute or substitutes, 
may do by virtue of this Power of Attorney.

     IN WITNESS WHEREOF, the undersigned has executed this Power of Attorney at
Dallas, Texas on this 8th day of March, 1999.


                         /s/ Charles L. Blackburn
                         ------------------------------------
                         Charles L. Blackburn



STATE OF TEXAS      Section 
                    Section 
COUNTY OF DALLAS    Section 

     BEFORE ME, Sharon E. Goodrich, a Notary Public in and for the State of
Texas, on this day did personally appear Charles L. Blackburn, known to me to be
the person whose name is subscribed to the foregoing Power of Attorney, and
acknowledged to me that he executed such Power of Attorney for the purposes and
consideration therein expressed.

     GIVEN UNDER MY HAND AND SEAL OF OFFICE, this 8th day of March, 1999.


                         /s/ Sharon E. Goodrich
                         ------------------------------------
                         Notary Public, State of Texas


(SEAL)

My Commission Expires: 9/14/02

<PAGE>

                                                                      Exhibit 24
                                                                     Page 2 of 5



                                  POWER OF ATTORNEY



KNOW ALL MEN BY THESE PRESENTS:

     That the undersigned hereby irrevocably constitutes and appoints RHYS J. 
BEST, CHARLES J. KESZLER and ROBERT F. SPEARS, or any of them, as the true 
and lawful agents and attorneys-in-fact of the undersigned (the 
"Attorneys-in-Fact"), each with full power to appoint a substitute or 
substitutes to act hereunder, to execute and deliver for and on behalf of the 
undersigned the Annual Report of Lone Star Technologies, Inc. on Form 10-K 
(including any amendments thereto) to be filed with the Securities and 
Exchange Commission pursuant to the Securities Exchange Act of 1934 for the 
fiscal year ended December 31, 1998. The undersigned hereby ratifies and 
confirms all that the Attorneys-in-Fact, or any substitute or substitutes, 
may do by virtue of this Power of Attorney.

     IN WITNESS WHEREOF, the undersigned has executed this Power of Attorney at
Dallas, Texas on this 9th day of March, 1999.


                         /s/ Dean P. Guerin
                         ------------------------------------
                         Dean P. Guerin




STATE OF TEXAS      Section 
                    Section 
COUNTY OF DALLAS    Section 

     BEFORE ME, Sharon E. Goodrich, a Notary Public in and for the State of
Texas, on this day did personally appear Dean P. Guerin, known to me to be the
person whose name is subscribed to the foregoing Power of Attorney, and
acknowledged to me that he executed such Power of Attorney for the purposes and
consideration therein expressed.

     GIVEN UNDER MY HAND AND SEAL OF OFFICE, this 9th day of March, 1999.


                         /s/ Sharon E. Goodrich
                         ------------------------------------
                         Notary Public, State of Texas



(SEAL)

My Commission Expires: 9/14/02

<PAGE>

                                                                      Exhibit 24
                                                                     Page 3 of 5



                                  POWER OF ATTORNEY


KNOW ALL MEN BY THESE PRESENTS:

     That the undersigned hereby irrevocably constitutes and appoints RHYS J. 
BEST, CHARLES J. KESZLER and ROBERT F. SPEARS, or any of them, as the true 
and lawful agents and attorneys-in-fact of the undersigned (the 
"Attorneys-in-Fact"), each with full power to appoint a substitute or 
substitutes to act hereunder, to execute and deliver for and on behalf of the 
undersigned the Annual Report of Lone Star Technologies, Inc. on Form 10-K 
(including any amendments thereto) to be filed with the Securities and 
Exchange Commission pursuant to the Securities Exchange Act of 1934 for the 
fiscal year ended December 31, 1998. The undersigned hereby ratifies and 
confirms all that the Attorneys-in-Fact, or any substitute or substitutes, 
may do by virtue of this Power of Attorney.

     IN WITNESS WHEREOF, the undersigned has executed this Power of Attorney at
Dallas, Texas on this 9th day of March, 1999.


                         /s/ Frederick B. Hegi, Jr.
                         ------------------------------------
                         Frederick B. Hegi, Jr.



STATE OF TEXAS      Section 
                    Section 
COUNTY OF DALLAS    Section 

     BEFORE ME, Sharon E. Goodrich, a Notary Public in and for the State of
Texas, on this day did personally appear Frederick B. Hegi, Jr., known to me to
be the person whose name is subscribed to the foregoing Power of Attorney, and
acknowledged to me that he executed such Power of Attorney for the purposes and
consideration therein expressed.

     GIVEN UNDER MY HAND AND SEAL OF OFFICE, this 9th day of March, 1999.



                         /s/ Sharon E. Goodrich
                         ------------------------------------
                         Notary Public, State of Texas



(SEAL)

My Commission Expires: 9/14/02

<PAGE>

                                                                      Exhibit 24
                                                                     Page 4 of 5


                                  POWER OF ATTORNEY


KNOW ALL MEN BY THESE PRESENTS:


     That the undersigned hereby irrevocably constitutes and appoints RHYS J. 
BEST, CHARLES J. KESZLER and ROBERT F. SPEARS, or any of them, as the true 
and lawfUl agents and attorneys-in-fact of the undersigned (the 
"Attorneys-in-Fact"), each with full power to appoint a substitute or 
substitutes to act hereunder, to execute and deliver for and on behalf of the 
undersigned the Annual Report of Lone Star Technologies, Inc. on Form 10-K 
(including any amendments thereto) to be filed with the Securities and 
Exchange Commission pursuant to the Securities Exchange Act of 1934 for the 
fiscal year ended December 31, 1998. The undersigned hereby ratifies and 
confirms all that the Attorneys-in-Fact, or any substitute or substitutes, 
may do by virtue of this Power of Attorney.

     IN WITNESS WHEREOF, the undersigned has executed this Power of Attorney at
Dallas, Texas on this 9th day of March, 1999.


                         /s/ James E. McCormick
                         ------------------------------------
                         James E. McCormick




STATE OF TEXAS      Section 
                    Section 
COUNTY OF DALLAS    Section 


     BEFORE ME, Sharon E. Goodrich, a Notary Public in and for the State of
Texas, on this day did personally appear James E. McCormick, known to me to be
the person whose name is subscribed to the foregoing Power of Attorney, and
acknowledged to me that he executed such Power of Attorney for the purposes and
consideration therein expressed.

     GIVEN UNDER MY HAND AND SEAL OF OFFICE, this 9th day of March, 1999.


                         /s/ Sharon E. Goodrich
                         ------------------------------------
                         Notary Public, State of Texas



(SEAL)


My Commission Expires: 9/14/02

<PAGE>

                                                                      Exhibit 24
                                                                     Page 5 of 5


                                  POWER OF ATTORNEY


KNOW ALL MEN BY THESE PRESENTS:


     That the undersigned hereby irrevocably constitutes and appoints RHYS J. 
BEST, CHARLES J. KESZLER and ROBERT F. SPEARS, or any of them, as the true 
and lawful agents and attorneys-in-fact of the undersigned (the 
"Attorneys-in-Fact"), each with full power to appoint a substitute or 
substitutes to act hereunder, to execute and deliver for and on behalf of the 
undersigned the Annual Report of Lone Star Technologies, Inc. on Form 10-K 
(including any amendments thereto) to be filed with the Securities and 
Exchange Commission pursuant to the Securities Exchange Act of 1934 for the 
fiscal year ended December 31, 1998. The undersigned hereby ratifies and 
confirms all that the Attorneys-in-Fact, or any substitute or substitutes, 
may do by virtue of this Power of Attorney.

     IN WITNESS WHEREOF, the undersigned has executed this Power of Attorney at
Dallas, Texas on this 9th day of March, 1999.

                         /s/ Thomas M. Mercer, Jr.
                         ------------------------------------
                         Thomas M. Mercer, Jr.



STATE OF TEXAS      Section 
                    Section 
COUNTY OF DALLAS    Section 


     BEFORE ME, Sharon E. Goodrich, a Notary Public in and for the State of
Texas, on this day did personally appear Thomas M. Mercer, Jr., known to me to
be the person whose name is subscribed to the foregoing Power of Attorney, and
acknowledged to me that he executed such Power of Attorney for the purposes and
consideration therein expressed.

     GIVEN UNDER MY HAND AND SEAL OF OFFICE, this 9th day of March, 1999.


                         /s/ Sharon E. Goodrich
                         ------------------------------------
                         Notary Public, State of Texas


(SEAL)

My Commission Expires: 9/14/02