Wolff's book, Fox wrote, could have kicked off the mother of all firestorms in the West Wing, but the president's daughter and son-in-law are reportedly sanguine after months on end of doing battle with Bannon and his Breitbart News audience.
But he said Mr Trump did not appear angry.
Former White House Chief Strategist and Breitbart CEO Steve Bannon apologized exclusively via Axios for statements made in Michael Wolff's book Fire and Fury regarding the president, the Trump family, and his advisers.
Wolff's book draws a derogatory portrait of Trump as an undisciplined man-child who didn't actually want to win the White House and who spends his evenings eating cheeseburgers in bed, watching television and talking on the telephone to old friends.
"Donald Trump, Jr.is both a patriot and a good man".
Trump attacked Bannon several times for the comment, calling him "sloppy" and even saying Bannon cried when he was sacked.
He added that there was "zero" chance Trump Jr.
Several flights canceled ahead of expected winter storm on the East Coast
A total of 12 flights had been canceled departing and arriving from Portland International Airport, mainly from NY and Boston. The National Weather Service says the storm will probably intensify so rapidly that it will qualify as a "bomb cyclone".
Trump has repeatedly invoked Ronald Reagan, tweeting Sunday that the former president "had the same problem and handled it well".
"He has been relentless in his advocacy for his father and the agenda that has helped turn our country around", he added, saying his comments in the book were directed at Paul Manafort, Mr Trump's former campaign manager.
The tweets were another sign of Trump's frustration at what he views as unfair treatment by the news media of his presidency amid a federal investigation into whether he or his campaign aides colluded with Russian Federation during the 2016 presidential campaign.
Echoing Trump's and his allies' earlier comments, Bannon suggested former Democratic nominee Hillary Clinton was the one who colluded with Russian Federation and pointed to the 2010 Uranium One deal as evidence. "There was no collusion and the investigation is a witch hunt". "To reiterate, those comments were not aimed at Don Jr".
Bannon's apology came after Trump went on a scorched-earth offensive against him in the wake of his comments.
Trump, in a series of morning posts on Twitter, said his Democratic critics and the U.S. news media were bringing up the "old Ronald Reagan playbook and screaming mental stability and intelligence" since they had not been able to bring him down in other ways.
"When I deal with President Trump, what I see is somebody who is committed to ensuring that he is taking decisions in the best interests of the United States", May said in an interview. "He used Sloppy Steve Bannon, who cried when he got fired and begged for his job".