More men have come forward accusing Mr. Spacey of behaving inappropriately toward them. This week, the actor Anthony Rapp accused him of sexual misconduct years ago, when Mr. Rapp was 14.

Many of the accusations regarding Mr. Spacey involve behavior that would have taken place when he was artistic director of the Old Vic theater in London, a position he held for 11 years, until 2015.

In a statement provided to The New York Times on Wednesday, Mr. Spacey's publicist said: "Kevin Spacey is taking the time necessary to seek evaluation and treatment. No other information is available at this time."

The institution released a statement saying it was "deeply dismayed" by the allegations, adding that it had set up an email address for anyone who has worked there to make a confidential complaint about inappropriate behavior by Mr. Spacey or anyone else.