The bassist took to Twitter to confirm the news.
In a message to those subscribed to the band's newsletter frontman Kele announced the limited run:
"I know its been a long two and half years since Bloc Party last performed. Well it seems that wait is over, we are happy to announce a short run of intimate shows for our friends in the UK and our friends in the US.
"We will be playing choice cuts from our new record as well as some more familiar jams. We hope to see you soon."
The June UK fanclub only shows are:
19 - Garage, Glasgow (14+)
20 - HMV Ritz, Manchester (16+)
21 - Koko, London (14+)