Hunt added: “Whatever those scruffy young fellas would have thought I can tell you now, all these years later, both of us are incredibly grateful to all of the audiences that have stuck with us these past four decades.
“And it shall be our absolute honour to get up on stage this year and play as many of the old faves as we can to those wonderful people. We are blessed.”
The band’s hits include Unbearable, A Wish Away, Caught In My Shadow, Size Of A Cow, and Don’t Let Me Down, Gently.
They reached number one in the charts when they teamed up with comedian Vic Reeves for Dizzy, with backing vocals from Bob Mortimer, and achieved three further top 10 singles, as well as four top 10 albums.
The group disbanded following their headline set at the Phoenix Festival in 1994 but reformed in 2000 to play five sold-out nights at London’s Forum Theatre.
The Wonder Stuff will be supported by Manchester indie band Inspiral Carpets on the tour which starts in October and tickets will go on sale from 10:00 GMT on 27 March on the band’s website.