“It was determined that not all elements of the required eligibility were fulfilled,” the awards administrators said in a statement Friday. “Both the production and the committee have discussed the matter in private. While all parties involved do not necessarily agree on the outcome, all parties agree that the issue was handled properly.”

A Tonys spokeswoman would not confirm that Mr. Vargas was denied access to the play, but several theater industry leaders confirmed that he was the excluded nominator. Last season, his first as a Tony nominator, he recused himself from voting.

Mr. Vargas is a prominent immigration-rights advocate who in 2011, writing for The New York Times Magazine, acknowledged that he is an undocumented immigrant.

In 2010, he wrote critically about “The Social Network,” a movie about the founding of Facebook co-produced by Mr. Rudin.