WASHINGTON — President Trump on Saturday criticized a report by The New York Times that described his years of poor treatment of his longtime personal lawyer, Michael D. Cohen, and concerns among the president’s advisers that Mr. Cohen will cooperate with the federal officials who are now investigating him.

Mr. Trump, in a series of tweets on Saturday morning, accused The Times and one of the reporters who wrote the article, Maggie Haberman, of “going out of their way to destroy Michael Cohen and his relationship with me in the hope that he will ‘flip.’” Mr. Trump accused The Times of using “non-existent ‘sources,’” though he did not assert that the article was false.

[Read the story: “Michael Cohen Has Said He Would Take a Bullet for Trump. Maybe Not Anymore.”]

He also said that “I don’t speak to” Ms. Haberman and “have nothing to do” with her. In fact, she has interviewed the president twice in the Oval Office and three times by telephone.

Dean Baquet, the executive editor of The Times, said in a statement that “the story is filled with named quotes on the record, and everything Maggie has reported from inside the White House has proven true.”