The 29-year-old, who was out of contract at the Reebok Stadium, had already agreed a deal in principle with the Istanbul side and was in the Turkish capital on Monday to finalise the move.
A statement from Galatasaray read: "Galatasaray Sports Club has announced the official signing of Johan Elmander from Bolton Wanderers on Monday. Elmander has signed a contract valid until the end of 2013-14 football season."
Sweden international Elmander joined Bolton from Toulouse three years ago for a club record ?£8.2million and scored 12 goals in all competitions this season.
Source: PA
Source: PA