"I call it the rigged witch hunt", Trump said of the Russian Federation probe.
He added: "So I think it's something that had to be done".
In response to the White House's move, Brennan tweeted that he "will not relent".
But she did not present any evidence that Brennan has actually ever mishandled classified information.
"Mr Trump's claims of no collusion are, in a word, hogwash", he said.
President Donald Trump has a few hobbies, and he does them all very well. Trump said in an interview published Wednesday that the Russian Federation investigation factored into his decision regarding Brennan.
McRaven then challenged Trump to revoke his clearance also.
The decision to strip Brennan of his clearance on Wednesday represents an unprecedented presidential intervention.
White House spokeswoman Sarah Huckabee Sanders announced the decision at a White House briefing Wednesday.
United States media fight back against Trump attacks
Almost 350 newspaper and other organisations are thought to have published a co-ordinated series of editorials condemning the US President's attacks on "fake news".
"By issuing such a statement, Mr Trump was not only encouraging a foreign nation to collect intelligence against a United States citizen, but also openly authorising his followers to work with our primary global adversary against his political opponent", Brennan wrote.
On his Twitter account, Trump reposted several comments supporting his revocation of Brennan's clearance, including one from Sean Hannity, a conservative Fox News television host.
Unfortunately for Trump, Manigault-Newman's book is likely to continue to hold the news cycle.
Following the president's summit last month with Russia's Vladimir Putin, Brennan - who headed the Central Intelligence Agency under Obama - described Trump's behavior as "nothing short of treasonous".
Senate Democrats were much more openly critical.
Former CIA directors and other top national security officials are typically allowed to keep their clearances, at least for some period. Bottom row from left are former FBI Deputy Assistant Director Peter Strzok, former Deputy Attorney General Sally Yates and former National Intelligence Director James Clapper. Trump said in the interview, a full transcript of which was not immediately published by the newspaper.
"On Wednesday, Trump cited "lying", frenzied commentary", and "erratic conduct" as reasons he'd revoked Brennan's security clearance.
Mueller has indicted or secured guilty pleas from 32 people and three companies, including Russian intelligence officials and former Trump aides. He is the only current government employee on the list. "I don't know why they give them security clearances anyway other than maybe a transition period", Shelby added. "I think they're not good people".