The 36-year-old has signed a one-year contract with the club and admits Jose Mourinho was a key factor in his decision to return to Stamford Bridge
The 36-year-old returns to Stamford Bridge having left in 2012 after winning the Champions League.
Drogba, who featured for Ivory Coast at the World Cup earlier this summer, has scored 157 goals in 341 appearances for Chelsea and has also won three Premier League titles, four FA Cups and two League Cups with the club.
“It was an easy decision,” Drogba told the club’s official website.
“I couldn't turn down the opportunity to work with Jose again. Everyone knows the special relationship I have with this club and it has always felt like home to me.
“My desire to win is still the same and I look forward to the opportunity to help this team. I am excited for this next chapter of my career.”
Drogba is reunited with Jose Mourinho after working with the Portuguese for three years before his departure in September 2007.
“He’s coming because he’s one of the best strikers in Europe,” said the Chelsea manager.
“I know his personality very well and I know if he comes back he’s not protected by history or what he’s done for this club previously. He is coming with the mentality to make more history.”