They will play Brixton Academy on Wednesday 20th August and the Apollo Manchester on the 21st
The record, released in 1988, was their first studio album and includes tracks Mountain Song, Ocean Size and the Grammy nominated Jane Says.
Upon it's release Nothing's Shocking was praised by fans and critics - although sales were slow because they weren't getting love from MTV and radio play, but it became one of the key alternative rock albums - at a time when alt rock was only just beginning to make waves with Pixies, Smashing Pumpkins and Dinosaur Junior.
They took the classic rock of Zep and mixed it with punk, metal and prog and a kind of circus freakshow glamour and theatricality.
And helped open the door for Nirvana and what's more, in 1991, they also created Lollapalooza festival, now an annual festival in the States.
I've been chatting to frontman Perry Farrell about coming back to the UK for these shows and looking back at the birth of Nothing Shocking....