The lawsuit also describes inappropriate conversations that Mr. Levine initiated with another artist in 1989 about masturbation, pornography and penis size, and a failed attempt by Mr. Levine in 1994 to get a man to accompany him to a restroom at the opera house to watch him masturbate.

In addition to serving as the Met’s music director and later music director emeritus, Mr. Levine oversaw the company’s prestigious young artist development program, which can serve as a career springboard. In 1999, the lawsuit says, Mr. Levine inappropriately touched one of its members on his knees, legs and hands. About a year later, it says, he invited the young artist into his dressing room “to engage in sexual activity.”

Lawyers for Mr. Levine denied the Met’s allegations in their own court filing on Friday. “The truth is that Levine did not commit any acts of sexual misconduct against any individuals, much less the unnamed individuals referred to,” his lawyers wrote. “The Met’s so-called ‘investigation’ of Levine’s conduct,” they added, “was nothing more than a pretext for the Met to suspend, fire and defame him.”

The Met’s new filing cites seven accusations of misconduct by Mr. Levine, five of which have not been previously reported. The other two men have already shared their accounts publicly and Mr. Levine has denied their accusations: James Lestock, a cellist who said he was abused for years beginning when he was a student of Mr. Levine’s; and Ashok Pai, who said that he was abused by Mr. Levine beginning when he was 16. Nine men in total have come forward with accusations of harassment or abuse.

The lawyers dispute the Met’s description of Mr. Levine’s relationship with a third person he believes he can identify, the young man who was visited by Mr. Levine in a bathrobe. Their filing describes him as a close personal friend of Mr. Levine’s and says that he did not work at the Met at the time of the incident and that Mr. Levine had more than 140 letters from him. The filing adds that “bathrobes are commonly worn by musical performers backstage in the theater, and there was nothing inappropriate or improper about Levine wearing one.”