Miller said Tapper was being "condescending" and described CNN's coverage of the Trump administration as "hysterical" and "toxic" when Tapper asked about whether Trump was mentally fit to serve in the Whtie House.
Mr Miller's interview on CNN quickly grew heated, with Mr Miller criticising CNN's coverage and moderator Jake Tapper pressing Miller to answer his questions. As he shut down the interview, Tapper told a shouty, indignant Miller that he thought he had wasted enough of his viewers time.
As Miller continued to complain about Tapper cutting him off, the cable news host shot back by noting that he shouldn't be so offended since he spent "the entire interview attacking CNN".
Reporters also dug into Miller's time at Duke University in the early 2000s. "And the tragic thing about this - and there are many things about it that are unfortunate - but the portrayal of the president in the book is so contrary to reality, to the experience of those who work with him". "I am offended. I'm offended by you and I'm offended by your network!"
Miller, during his CNN appearance, praised Trump as "a self-made billionaire who revolutionized reality TV and who has changed the course of our politics".
As Miller became further agitated, telling Tapper that "this isn't a courtroom", Tapper said, "Settle down, settle down".
Miller refused to answer serious questions about the New York Times report that special counsel Robert Mueller, who is heading the Russian Federation investigation, has in his possession a letter outlining the president's reasoning for firing former FBI Director James Comey - which Miller reportedly had a hand in drafting. "Thank you, Stephen", Tapper said.
The president also blasted Tapper as a "CNN flunky".
The appearance was one of Miller's first major Sunday show television interviews since the beginning of the administration, when he made a slew of appearances defending the president's travel ban.
"I regret that my delay in responding to the inaccurate reporting regarding Don Jr has diverted attention from the president's historical accomplishments in the first year of his presidency", he said in the statement.
Later, after Tapper told Miller to not "act all offended", Miller replied that he was "not acting offended", the transcript says.