Snowden told the magazine via encrypted means from Moscow that he "clearly and unambiguously acted alone, with no assistance from anyone, much less a government."
He added, "It won't stick. ... Because it's clearly false, and the American people are smarter than politicians think they are."
Snowden asks why would he have initially fled to Hong Kong, and why was he "stuck in the airport forever," in reference to the 40 days he spent stranded in the transit zone of Moscow's Sheremetyevo International Airport.
"Spies get treated better than that."
Snowden's statement follows accusations made by the Chairs of both the House and Senate Intelligence Committees on Sunday, insinuating he might have collaborated with the FSB -- the Russian successor organization to the Soviet-era KGB.
"I believe there's a reason he ended up in the hands -- the loving arms -- of an FSB agent in Moscow. I don't think that's a coincidence," Representative Mike Rogers, a Republican congressman from Michigan who chairs the House Intelligence Committee, told NBC's "Meet the Press."
Rogers did not provide specific evidence to back up his claim, merely suggesting there were "clues that certainly would indicate to me that he had some help."
Asked during that same program if she thought Snowden has been working on behalf of the Russians, Roger's counterpart in the US Senate, Dianne Feinstein, replied "He may well have."
"We don't know at this stage," Feinstein said.
On Wednesday, Snowden's legal representative in Russia, Anatoly Kucherea, said accusations that Moscow somehow played a part in Snowden's decision to take hundreds of thousands of classified documents were attempts to discredit the Russian Federation.
"In this case it's an egregious fact that people [ranking government officials] like the head of the US House Intelligence Committee is tossing around false information to the press," Kucheren told Ria-Novosti News Agency.
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Kucherea said that Rogers, like anyone, should realize that one is responsible for the false information they spread.
"If he's going to talk about intelligence, then the US intelligence services [should show] supporting facts regarding Snowden's collaboration with Russia. But Rogers is not presenting such facts. His speech was intended to discredit Russia."
Kucherea added that Snowden had only recently found a job, and prior to that was living off donations provided by others. If he had been collaborating with Russian security agencies, then Snowden would have been "financially secure,"
"These [speculative] statements are intended to conceal the problems of the human rights violations which have allowed US intelligence agencies -- the NSA and CIA -- to mislead Americans and foreign citizens."
Kucherea's views reflect the conclusions of the FBI's own investigation into Snowden. Following Roger's allegations, on Sunday, a senior FBI official told the New York Times that it was the bureau's conclusion that Snowden had acted alone.
Other US security officials told Reuters as recently as last week that the United States had no evidence that Snowden had been aided or abetted in any way by outside forces.
rt.com is Russian television, which actually does a great job reporting on US news too.