On the broadcast, Vincent competed against singer Justin Hopkins in the "battles" round. Following their performance of Journey's "Faithfully," Green chose Vincent as the winner.
He will continue on to the "live rounds," which kick off April 2.
Vincent has also been seen on Broadway in Jesus Christ Superstar and Rent.
The first season of "The Voice" featured Rent's Frenchie Davis, who made it to the semi-finals of the competition.
For more information about "The Voice," visit www.nbc.com/the-voice.