Once the nominations have been announced, the spotlight shifts to the voters. There are about 650 people who cast ballots for the Tony Awards, and most of them have some kind of stake in the theater industry: producers and performers, directors and designers, and even some journalists (though none from The New York Times, which views such involvement as a conflict of interest). The deadline for the voters to cast their ballots is Friday, June 10, just two days before the awards ceremony. The voting is electronic, and the voters are only supposed to vote in categories in which they have seen all the nominees. Between now and then there is a bit of campaigning. Shows often send voters scripts, or cast recordings, and sometimes a souvenir book or other form of promotional merchandise. And many of the nominees try to stay in the public eye during the voting period, by granting more interviews, performing at nonprofit galas, and presenting at theater-related conferences.
Source: Theater - nytimes.com