A former employee of Harvey Weinstein accused him in a lawsuit on Tuesday of sexually and physically assaulting her for years and threatening to ruin her career if she denied his sexual advances or told anyone about them.

In the lawsuit, the former employee, Alexandra Canosa, a producer on the Netflix show “Marco Polo,” said that Mr. Weinstein repeatedly sexually assaulted and raped her between 2010 and 2014, often in hotel rooms in New York and Los Angeles. She said he continued to threaten her to stay silent until September, a few weeks before The New York Times and The New Yorker published stories about years of sexual misconduct and assault allegations against Mr. Weinstein.

Three of the incidents took place at the TriBeCa Grand Hotel in Manhattan in 2010 and 2012, making them of interest to prosecutors in the Manhattan district attorney’s office who have been investigating other sexual assault allegations against Mr. Weinstein.

Some of the complaints against Mr. Weinstein reported to New York authorities happened too long ago to be prosecuted, law enforcement officials have said, but the incidents mentioned in Ms. Canosa’s lawsuit might qualify as more serious sex crimes that have no statutes of limitation, because she contends he physically forced her to comply with his demands.