Cheney said he was directly involved in setting up the program, run by the National Security Agency, or NSA, in the weeks after the September 11, 2001 attacks against the US. He said it has had "phenomenal results" in preventing terrorist attacks.
Cheney did not specify which surveillance program he was referring to. Snowden, a former NSA contractor, is facing espionage charges stemming from his disclosure of US surveillance programs that collect phone records and online data in the name of national security.
He was asked about Snowden's disclosures at a forum at a Washington think tank on US-Korean affairs. He said the leaks have already caused significant damage to US national security as it had forced the government to declassify information to explain the surveillance program.
"If you tell the enemy how you are reading their mail, it's going to lessen your capability to do that," he said. Cheney, who served as vice president in the George W. Bush administration, said that the way the program was set up, it required presidential approval for anyone outside the agency to be allowed to "read in" to it.
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"I said, 'Do you think we ought to come back to the Congress in order to get more formal authorization?' and they said, 'Absolutely not.' Everybody, Republican and Democrat, said, 'Don't come back up here, it will leak'," Cheney said.
Cheney expressed concern that a private contractor was able to gain access to the information that Snowden has leaked, and speculated that someone within the NSA was feeding information to him.
Snowden left Hong Kong yesterday for Moscow to avoid extradition to the US. His intended destination remains unclear.