The reformed band will play at Shepherd's Bush Empire on Friday, November 9.
The group's appearance will mark the first time they have headlined at the venue since they were the first band to play there in 1994.
Tickets for the gig will go on sale on Friday, October 26 at 9am.
The Chris Cornell-fronted grunge band will release their sixth studio album King Animal - the follow-up to 1996's Down on the Upside - on November 12.
Soundgarden fans who have pre-ordered the super deluxe edition of the new LP before midnight on October 22 will be entered into a ticket pre-sale for the Shepherd's Bush gig.
Watch a teaser trailer for King Animal below: