Turkish midfielder Oguzhan Ozyakup opened the scoring in the eighth minute, wıth fellow midfielder Arda Turan doublıng the host's lead in the 26th.
A goal from Burak Yilmaz closed Turkey's account four minutes from the end of normal tıme.
Turkey is now in third place in Group A behind Iceland and the Czech Republic.
The best third-placed side qualifies directly for the final tournament. The eight remaining third-placed teams contest play-offs to determine the last four qualifying spots in the draw for Euro 2016, which wıll take place in France next summer.
Prime Minister Ahmet Davutoglu was among the crowd watchıng the match in the Torku Arena.
