The 27-year-old successfully completed a medical on Monday and has signed from French champions Lyon for an undisclosed fee - believed to be in the region of £13million.
He will fly out to Los Angeles on Tuesday to join the rest of the squad for their three-game pre-season tour of the US.
Malouda was part of the France team that made it to the final of last year's World Cup in Germany and has accumulated 30 caps in all, scoring three goals.
Both Chelsea and Lyon revealed on Sunday that a fee had been agreed, with the French club's president Jean-Michel Aulas insisting: "It (the deal) is brilliant and it is good news for Flo."
Malouda will team up with former team-mates Michael Essien and Didier Drogba at Stamford Bridge.
Meanwhile, Chelsea have confirmed that defender Khalid Boulahrouz will not travel across the Atlantic as negotiations with several clubs over a transfer continue.
Lassana Diarra has also stayed at home due to personal problems, but it is hoped he will join up with his team-mates before the end of the tour.