POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned hereby constitutes
and appoints Steven E. Markhoff as his or her true and lawful attorney-in-fact
and agent, with power and authority and full power of substitution and
resubstitution, for the undersigned and in the undersigned's name, place and
stead, in any and all capacities, to execute for and on behalf of the
undersigned, in the undersigned's capacity as a director of Kitty Hawk, Inc.,
Forms 3, 4 and 5 and any other documents required to be filed by the undersigned
in connection with Section 16 of the Securities Exchange Act of 1934, as
amended, and the rules and regulations promulgated thereunder, together with any
and all amendments and supplements thereto; to do and perform any and all acts
for and on behalf of the undersigned which said attorney-in-fact determines may
be necessary or desirable to complete and execute any such Form 3, 4 or 5,
together with any and all amendments and supplements thereto and all other
documents in connection therewith, and file such form or forms with the
Securities and Exchange Commission and any stock exchange of similar authority;
and to perform any other acts that said attorney-in-fact or agent determines may
be necessary in connection with the foregoing that may be in the best interest
of or legally required by the undersigned, granting unto said attorney-in-fact
and agent, full power and authority to do and perform each and every act and
thing requisite or necessary to be done in and about the premises, as fully to
all intents and purposes as said attorney-in-fact and agents might or should do
in person, hereby ratifying and confirming all that said attorney-in-fact and
agent shall do or cause to be done by virtue hereof.

         The undersigned acknowledges that the foregoing attorney-in-fact and
agent, in serving in such capacity at the request of the undersigned, is not
assuming any of the undersigned's responsibilities to comply with Section 16 of
the Securities Exchange Act of 1934, as amended, and the rules and regulations
promulgated thereunder. This Power of Attorney shall remain in full force and
effect until revoked by the undersigned in a signed writing delivered to said
attorney-in-fact and agent.

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 24th day of June, 2005.


                                             /s/ RAYMOND B. GREER
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                               Printed Name: Raymond B. Greer
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