Filipe Luis has been one of the stand-out players in the Atletico team that has been very successful in recent seasons.
player will wear the No.5 shirt and replace Ashley Cole, who joined Roma on a free transfer after eight years at the Bridge.
"This move is a dream come true for me. I now have the opportunity to play for Chelsea, and also in the Premier League," said the 28-year-old left-back.
"I’m very happy and looking forward to getting started and giving my best for the team during the coming seasons."
The player who has been brought primarily to replace the departed Ashley Cole, has been given the No.5 jersey at Stamford Bridge.
Filipe Luis won four trophies in as many seasons at Atletico Madrid playing a crucial role in the club's run to the last season's Champions League final.
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