The Holland international successfully underwent tests on Tuesday morning ahead of his signing ceremony on Tuesday afternoon, Galatasaray confirmed.
The 28-year-old, whose transfer fee from Inter Milan is believed to be in the region of 10 million euros (£8.4million), has agreed a reported three-and-a-half-year deal with Super Lig leaders.
Speaking before undergoing his medical, Sneijder revealed that he sought advice from his former Inter Milan boss Jose Mourinho and Louis van Gaal, the Holland coach, before finally deciding to join Galatasaray.
Sneijder told De Telegraaf: "I've been very well briefed on all sides, very well briefed.
"I called Jose Mourinho and Louis van Gaal because they have been key figures in my football career and I think their opinion is important.
"They both said the same thing: do!
"They gave me the final push, knowing how Turkish football is on the rise."
Sneijder also admits one of the reasons behind his move to Gala was next year's World Cup in Brazil.
He said: "This is all important in view of the World Cup."