LONDON — The publicist for Kevin Spacey has announced that the Oscar-winning actor is seeking treatment, as reports emerged that the London theater where he was the longtime artistic director turned a blind eye to allegations of sexual misconduct.

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.”