"Nice", Trump wrote on Twitter.
"You are witnessing the single greatest WITCH HUNT in American political history - led by some very bad and conflicted people!" he said in an early morning tweet.
In an attempt to sound upbeat and to downplay the new developments in a controversy that has now reached the Oval Office, Trump also said that "despite the phony witch Hunt going on in America, the economic & jobs numbers are great".
Mr Putin echoed Mr Trump's criticism of Mr Comey, saying it was "very strange" a former Federal Bureau of Investigation chief leaked details of his conversations with the United States president to the media through a friend.
Several congressional panels are also investigating the Russian Federation issue, which has cast a shadow over the early months of Trump's presidency.
Late Thursday, reports surfaced Vice President Mike Pence hired a lawyer to assist him through probes into whether there were ties between Trump's election campaign and Russian Federation.More news: German minister sees hope of 'soft' Brexit
Meanwhile, former House Speaker Newt Gingrich slammed Mueller for reportedly launching investigation against Trump.
Mr Trump's tweet sparked the derision of social media users. His transition team was ordered to preserve documents related to the Russian Federation investigation by the team's general counsel's office, according to The New York Times on Friday.
Trump has vehemently denied any collusion between himself or any of his associates and Russian Federation.
Both actions seek documents Comey told the Senate he created earlier this year immediately after meetings and conversations with the president.
It was not immediately clear what prompted the release of that statement by Rosenstein, whether it was in response to recent stories that suggested the President was under investigation for obstruction of justice, or some other reason.