Other artists among the first to be confirmed for the seventh year of the event include The Pigeon Detectives, The Subways and Summer Camp.
The three-day festival takes place at Mouldridge Lane, Pikehall, Near Matlock in the Peak District from August 3-5.
Earlybird tickets including camping are available now and are priced at £65 plus fees. Full-priced tickets are £75.
Tickets permitting early entry from 2pm on Thursday, August 2 cost an additional £9.
A joint ticket for the Y Not Festival and 2000 Trees Festival costs £117.50.
The Wombats play two UK shows later this month and also perform a one-off Forestry Commission show in Delamere Forest on July 8.
Watch The Wombats' teaser trailer for This Modern Glitch (The Ultimate Collection iTunes LP) below: