The introduction of the new policy comes weeks after actor Will Smith's infamously slapped comedian Chris Rock at the Oscars.
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In a letter to ticket buyers on Wednesday, the award show's producers revealed the new procedure, which clarifies how they'd handle an individual "in the event of an incident."
According to the Hollywood Reporter, the letter states: "In the event of an incident, the perpetrator will be removed from the event immediately."
The Tony Awards will take place on Sunday, June 12.