Goss, speaking Thursday before the U.S. Senate Select Committee on Intelligence, said leaks to the media inflict "very serve" damage on the U.S. intelligence community's ability to carry out its mission, The Washington Post reported.
The CIA director also defended a program, revealed in December by The New York Times, in which the National Security Agency has been authorized to monitor communications by suspected terrorists, even if those communications are in the United States.
The Justice Department is looking into those leak allegations.
The existence of the secret prisons, allegedly used by the United States to question terror suspects, came to light after a leak to the Post.
"It is my aim and it is my hope that we will witness a grand jury investigation with reporters present being asked to reveal who is leaking this information," Goss said. "I believe the safety of this nation and the people of this country deserves nothing less."