The 2-0 victory made the Ankara club book their place for the next stage in the Europe's second-tier international tournament.
Midfielders Dzon Delarge and Erdal Kilicaslan were the scorers for Osmanlispor.
Osmanlispor finished the group as leaders. They have 10 points. Spain's Villarreal beat Romanian Steaua Bucharest 2-1 and completed group stage in second spot.
Meanwhile the other Turkish club Konyaspor lost against Belgian club Gent 1-0 at home.
Konyaspor finished Group H in the last place so they have been eliminated.
Group H results:
Konyaspor (Turkey) - Gent (Belgium): 0-1
Braga (Portugal) - Shakhtar Donetsk (Ukraine): 2-4