The band, who are currently working on their new album, will headline London's Roundhouse on September 27.
Reverend and The Makers will support Madness at the show. Fans can apply for tickets on the iTunes Festival website.
Entry is still open to apply for tickets to watch the likes of One Direction, Jessie J, Lana Del Rey and Ellie Goulding.
Mumford & Sons, Alicia Keys and Muse will also play at the month-long festival, which kicked off with Usher on September 1.
Madness played at V Festival back in August.
Watch Madness's video for 'Our House' below: