A member of the Senate intelligence committee says "we've seen no smoking gun at this point" regarding collusion between the Trump campaign and the Russian government during the 2016 USA presidential election.
Before taping the interview on Friday, Kelly had moderated a panel at the St. Petersburg International Economic Forum, to which Putin also contributed.
In the interview, Putin claimed that "a child" could have hacked the United States election and alleged that Russian Federation may have been framed. "That's completely nonsense! Do you even understand what you're asking, or not?" he said.
Kelly also asked Putin about his relations with former U.S. national security adviser Michael Flynn. "I haven't seen, even once, any direct proof of Russian interference in the presidential election in the United States".
Putin simply dismissed the Kremlin's have compromising information on Trump, saying, "Are you all..."
In his letter firing Comey, Trump said the former FBI director had informed him "on three separate occasions that I am not under investigation". And then afterwards I was told, 'You know there was an American gentleman.
Flynn, a retired lieutenant general, briefly served as an adviser to Trump's campaign and later as the president's national security adviser.
He accused the media of sensationalising information and using it as "a weapon of war" against Mr Trump. "There is a theory that Kennedy's assassination was arranged by USA intelligence services", the Russian president added. "There can even be hackers, by the way, in the United States, who very skillfully and professionally shifted the blame onto Russian Federation. And I got up and left", Putin told Kelly.
He said if there had been anything interesting to come out of the meeting, his foreign minister would have reported it to him.
He said there was no need for Moscow to interfere in the presidential election, as has been alleged by multiple US intelligence agencies.
"This sums up my entire acquaintanceship with Mr Flynn".
The FBI also is probing whether anyone associated with Trump's presidential campaign was involved in the Russian hacking.
Despite the evident tension on camera, in an interview Kelly described Putin as "very personable" when the cameras were off.