The Blues have finally captured the 21-year-old Wigan attacker after a summer-long pursuit of the player, with the Latics accepting a bid believed to be in the region of £10m
The Latics are believed to have accepted a bid in the region of 10 million pounds for the Nigerian international, with Roberto Di Matteo showing no let-up in spending during the current transfer window.
The Blues also confirmed the signing of Marseille fullback Cesar Azpilicueta earlier on Friday, and he joins Eden Hazard, Oscar, Marko Marin and Thorgan Hazard amongst this summer's new recruits at Stamford Bridge.
While Moses' switch to west London had stuttered due to Latics chairman Dave Whelan playing hardball in negotiations, the 75-year-old eventually relented to allow the Nigerian striker a move away from the DW Stadium.
Moses was snapped up by Wigan in January 2010 after he had established himself in the Championship with Crystal Palace.