Southern Command said the inquiry had found five cases of "mishandling" of a Koran by US personnel, but no evidence it had ever been flushed down a toilet.
In the incident involving urine, which took place in March, Southern Command said a guard left his post and urinated near an air vent and "the wind blew his urine through the vent" and into a cell block.
It said a detainee told guards the urine "splashed on him and his Koran." The statement said the detainee was given a new prison uniform and Koran, and that the guard was reprimanded and given duty in which he had no contact with prisoners.
Southern Command said a civilian contractor interrogator, who was later fired, apologised in July 2003 to a detainee for stepping on his Koran.
In August 2003, prisoners' Korans became wet when night-shift guards threw water balloons in a cell block, the statement said. In February 2002, guards kicked a prisoner's Koran, it added.
In the fifth "confirmed incident" of mishandling a Koran, Southern Command said a prisoner in August 2003 complained that "a two-word obscenity" had been written in English in his Koran.
Southern Command said it was "possible" a guard had written the words but "equally possible" the prisoner himself had done but they did not offer any explanation of his possible motive.