Drogba's transfer to the Turkish champions comes just half a year after he left Chelsea for Shanghai Shenhua in China.
"I just officially signed a one year and a half contract with Galatasaray. The 18-times Turkish league champions and 2000 UEFA Cup winners are leading [the] Super Lig and have also qualified for the knockout stages of the Champions League, a special competition for me, where we face Schalke 04 in the last 16", he wrote on his official site.
"This is a very exciting challenge that awaits me in Istanbul. I cannot wait to discover this historic club and their fans, renowned for their incredible support. This is the beginning of a new adventure for me!"