Separately, Mr. Cohen succeeded around 2013 in killing a story Us Weekly was preparing about an alleged affair between Donald Trump Jr., who had been a judge a year earlier on the television show, “Celebrity Apprentice,” and one of the contestants, Aubrey O’Day, a member of the singing duo Dumblonde, according to people familiar with the matter.

The magazine, then owned by Wenner Media, had what staffers believed to be a solid source on the alleged affair by the younger Mr. Trump and called the Trump Organization for comment, according to the people involved in the matter. They received a call back from Mr. Cohen, who threatened legal action and became so irate that they muted the call while he spoke, one of these people said.
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The magazine’s staff didn’t believe it was a big story that would be worth a legal fight and had a good working relationship with the elder Mr. Trump on stories related to the TV show “The Apprentice,” so they dropped the story.

The story of the alleged affair was reported in entertainment media last month when Donald Trump Jr.’s wife filed for divorce; Mr. Cohen’s involvement in the Us Weekly story hasn’t previously been reported.

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