The Tony Award (formally, the Antoinette Perry Award for Excellence in Theatre) is an annual award celebrating achievements in live American theater, including musical theater, primarily honoring productions on Broadway in New York.
To get the Tony Award, a show must play in a "Broadway" theater, which is said by its size, not its geographical location. The rules for the Tony Awards are explained in the official document "Rules and Regulations of The American Theatre Wing's Tony Awards", which applies for each season only.
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Tony Award Facts for Kids. Kiddle Encyclopedia.