The F.B.I. on Monday raided the office of President Trump’s longtime personal lawyer, Michael D. Cohen, seizing records related to several topics including payments to a pornographic-film actress.

Federal prosecutors in Manhattan obtained the search warrant after receiving a referral from the special counsel, Robert S. Mueller III, according to Mr. Cohen’s lawyer, who called the search “completely inappropriate and unnecessary.” The search does not appear to be directly related to Mr. Mueller’s investigation, but likely resulted from information he had uncovered and gave to prosecutors in New York.

“Today the U.S. Attorney’s Office for the Southern District of New York executed a series of search warrants and seized the privileged communications between my client, Michael Cohen, and his clients,” said Stephen Ryan, his lawyer. “I have been advised by federal prosecutors that the New York action is, in part, a referral by the Office of Special Counsel, Robert Mueller.”

Mr. Cohen plays a role in aspects of the special counsel’s investigation into Russian interference in the 2016 presidential election. He also recently said he paid $130,000 to a pornographic-film actress, Stephanie Clifford, who said she had an affair with Mr. Trump. Ms. Clifford is known as Stormy Daniels.