Cheney had the agency declassify two memos that he thinks back its claim that useful knowledge was obtained by such methods. The Bush administration approved the use of water boarding, sleep and food poverty and forced nudity, as it comes to information after 11 September attacks.
The CIA says the two memos Cheney invited to be made available to the public were required for pending litigation.
"For this reason - and for that reason only - CIA Mr. Cheney does not accept the request for a binding release review," Paul Gimigliano, CIA spokesman said.
A spokeswoman for Cheney, who has become the most public defenders are much more important aspects of George W. Bush 's presidency, in January, said he was preparing a complaint.
He has been in an increasingly contentious battle with the Obama administration on the interrogation program whose disclosure prompted international anger and the United States' reputation around the world.
In one of his first acts as president, Barack Obama appoint humane treatment of terror suspects.
Obama called water boarding, a form of simulated drowning, a form of torture and has not ruled out criminal prosecution of the Bush administration, is authorized.
Cheney criticized Obama's decision last month to legal opinions, while the Bush administration, the use of the techniques employed against some caught in Bush's war against terrorism after 11 September attacks.
Obama to DEBATE
The dispute over prisoner abuse has entangled the Speaker of the House (of Representatives), Nancy Pelosi, in a dispute about how much they knew, that the program could be created in advance and Obama in a debate about whether images of the abuse to be released.
Obama on Wednesday reversed its position and refused to make public dozens of photos, which says that the images could ignite a counter-movement against the U.S. troops.
"The concern was that the release of these photos would have a negative impact on the situation in Iraq and Afghanistan," Attorney General Eric Holder said at a House Judiciary Committee hearing.
"We have to argue that in court, and we are prepared to do this," he said. Obama's decision was "consistent with the interests of our troops," said Holder.
Human rights activists want a full investigation into the interrogation program and the official who is authorized.
House (of Representatives) Judiciary Committee Chairman John Conyers, who for a commission to investigate behavior in Bush's war against terrorism, said more than a dozen members of the Committee was the appointment of a special advisory to the treatment of prisoners.
The American Civil Liberties Union, working for the release of the photos, is also responsible for the appointment of an independent prosecutor, to the interrogation methods.
Legislators also worried about the owners about the possibility that some of the prisoners of Guantanamo Bay, the U.S. naval base in Cuba, where many terror suspects are held, could be transferred to the United States.
Representative Lamar Smith, the senior Republican on the Committee, said closing Guantanamo Bay, where 241 terror suspects are "endanger American lives."
He warned that American prisons holding terrorism suspects "could be a target for terrorist attacks sleeper cells here and around the world."
Owners said no final decisions have been taken, what to do with Guantanamo Bay prisoners.
Analysts and diplomats have said Saberi arrest should not be interpreted as a sign that Obama rejects Iran's Overture, but they say, and their release was influenced by it.
Some saw the arrest as a warning to foreign media in Iran presidential elections in June, while others say that he had an offer from hardliners to obstruct any thaw in US-Iran relations or to use it as a "trump card".