Earlier on Tuesday, a spokesman for Mr. Nygard, Ken Frydman, said the fashion executive welcomed the investigation and expected that his name would be cleared. Mr. Frydman accused Mr. Nygard’s neighbor, the hedge fund founder Louis Bacon, of being behind the litigation and federal raids.

Mr. Nygard is now believed to be in Winnipeg, Manitoba, where he started his company and maintains an office.

Federal authorities raided Mr. Nygard’s home in Marina del Rey on Monday evening. About a dozen investigators in F.B.I. and New York Police jackets worked Tuesday morning at Mr. Nygard’s corporate headquarters near Times Square in Manhattan, even bringing in a crow bar and a sledgehammer. They spent time on the sixth floor of the building, which he illegally converted into a private apartment with a Jacuzzi, according to a citation from the city in 2013. The headquarters and adjacent flagship store are emblazoned with his name and feature a large picture of him, golden muscles flexing, long gray hair flowing.

Investigators, who spent about five hours in the building, carried out at least eight boxes of materials, including at least one computer hard drive.

It is not the first time Mr. Nygard has been investigated by the federal authorities: The F.B.I. briefly looked at Mr. Nygard in 2015 and 2017 over allegations of sex trafficking. The Department of Homeland Security also investigated Mr. Nygard for nine months starting in 2016. The inquiries sputtered out.

Mr. Nygard was estimated to be worth roughly $750 million in 2014 by Canadian Business magazine. An avowed playboy, he has fathered at least 10 children with eight women. In the Bahamas, he demanded a steady supply of sex partners, six former employees told The Times. The employees said they searched for young women at shops, clubs and restaurants to invite to parties and dinners.

Mr. Nygard called his Bahamian estate “the eighth wonder of the world”: It featured sculptures of predators like lions and smoke-breathing snakes, a human aquarium where topless women undulated in mermaid tails, and a disco with a stripper pole.