This week, Trump also attacked what he called a "phony story" in the Washington Post that said Mueller's investigation had been expanded to include an inquiry into whether Trump's firing of Comey amounted to an illegal attempt to obstruct justice.
Trump's friend Newt Gingrich - who is out with a new book titled "Understanding Trump" - is among those raising questions about the "anti-Trump" focus of Mueller's investigation.
This was a particularly angry Friday for Trump, who earlier seemed to publicly accuse Deputy Attorney General Rod Rosenstein of being complicit in the "witch hunt" to discredit him. The Democratic National Committee called on Mr Rosenstein to recuse himself from the Russian Federation matter, but also said authority over the investigation should be given to Mr Mueller and not another Trump appointee. Mr Rosenstein wrote a memo criticising former Federal Bureau of Investigation chief James Comey's handling of the email server scandal that was initially used by the White House to justify the firing of Mr Comey.
NBC is reaching out to the White House.
Trump has in the past 24 hours written a number of tweets calling the Russian Federation probe a "witch hunt" being carried out by Rosenstein, Mueller and "very bad people".
President Donald Trump has taken on "obsessive behavior", constantly sending out defensive tweets, saving morning news programs to watch later and even blurting out during meetings that he's not under investigation, Politico reported Thursday.
The Republican president has repeatedly complained about the probe, calling it a witch hunt and saying Democrats can not accept his election victory. That falls to Deputy Attorney General Rosenstein, who was asked this by Republican senator from Maine Susan Collins at a hearing on Tuesday.
At a ceremony last month to welcome Associate Attorney General Rachel Brand, the Justice Department's third-ranking official, Rosenstein joked awkwardly about being at the center of criticism since taking office, according to people who were in the room.
He said the president "sought my advice and input" on Comey's firing.
Moscow has denied any interference. NPR's White House correspondent Tamara Keith reports.
Trump's tweet was part of an early-morning tweetstorm in which he went after the Russian Federation investigations and the "Fake News Media".
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