Khan, who is facing a long-running case in which he is charged with poaching, told a court at Jodhpur in Rajasthan that he would rather be put out of his misery than have to go through with the trial that began in 1998.
"The court can hang me. I am tired of such lengthy proceedings," Khan told the court. He denied killing two black buck deer, a protected species.
"I am tired of this. It is a question of my career," the actor reportedly told the court. "I am innocent and the court can even convict me, but the judgement should not be delayed."
Lawyers for the Bishnoi community, who pressed charges against Khan, claimed there was strong evidence pointing to his involvement in the killing of the black buck.
The Bishnoi worship the animals and protested when the incident was first reported in the media.