The 18-year-old striker arrives in west London from NK Zadar, after impressing Premier League scouts at the U20 World Cup in Turkey earlier this summer.
Perica scored one goal in three appearances as Croatia were eliminated at the group stages, but the talented teenager showed enough potential to earn a lucrative move to Stamford Bridge.
After making his senior debut in September 2012, Perica went on to make 23 appearances for NK Zadar, scoring 10 goals for the Prva HNL outfit.
He is expected to go straight into Chelsea's development squad, where he will continue his progression up the football ladder, with a view to eventually making a breakthrough to Jose Mourinho's first-team squad.
Chelsea have a growing reputation for bring through young talent, and hope that Perica will be the next academy product to establish himself in the Premier League.
Watch footage of new Chelsea signing Stipe Perica in the video below - and feel free to share any information or knowledge about the Croatian youngster in the comment box provided.