The band will play the 200-capacity Lexington on Friday, December 7, where they will perform their third album Smother in its entirety.
Members of the public who want to enter a ticket ballot for the show can do so via the band's official website.
The draw will close on Monday, December 3 at 9am, after which randomly-selected winners will be sent a link to purchase tickets.
The show is a warm-up for Wild Beasts' performance at an ATP weekend curated by The National.
The band will headline the Camber Sands event on Saturday, December 8.
Watch Wild Beasts' video for 'Bed of Nails' below: