<PAGE>   1
                                                               EXHIBIT 24

                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/ DAVID L. HENNINGER 
                                            -----------------------------------
                                            David L. Henninger





<PAGE>   2


                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/    TIMOTHY JOHNSTON
                                            -----------------------------------
                                            Timothy Johnston





<PAGE>   3


                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/    ANDREW J. KELLY
                                            -----------------------------------
                                            Andrew J. Kelly






<PAGE>   4


                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/    THOMAS B. MCDADE
                                            -----------------------------------
                                            Thomas B. McDade





<PAGE>   5


                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/    ROBERT MUNSON, III
                                            -----------------------------------
                                            Robert Munson, III





<PAGE>   6


                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/   JAMES P. NORRIS
                                            -----------------------------------
                                            James P.  Norris





<PAGE>   7


                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/    FREDRIC J. SIGMUND
                                            -----------------------------------
                                            Fredric J. Sigmund






<PAGE>   8


                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/    JOHN M. SULLIVAN
                                            -----------------------------------
                                            John M. Sullivan






<PAGE>   9


                        GROUP MAINTENANCE AMERICA CORP.

                               POWER OF ATTORNEY

                           ANNUAL REPORT ON FORM 10-K


         The undersigned, in his capacity as a Director of Group Maintenance
America Corp., does hereby appoint J. Patrick Millinor, Jr., Randolph W. Bryant
and Darren B. Miller, and each of them, severally, his true and lawful
attorneys, or attorney, to execute in his name, place and stead, in his
capacity as a Director of said Company, an Annual Report on Form 10-K for the
fiscal year ended December 31, 1998, and any and all amendments to said Annual
Report, and all instruments necessary or incidental in connection therewith,
and to file the same with the Securities and Exchange Commission. Each of said
attorneys shall have the power to act hereunder with or without the other of
said attorneys and shall have full power and authority to do and perform, in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever requisite or necessary to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts of said attorneys and each
of them.

         IN TESTIMONY WHEREOF, the undersigned has executed this instrument
this 30th day of March, 1999.


                                            /s/    JAMES D. WEAVER
                                            -----------------------------------
                                            James D.  Weaver