Galatasaray's Morroncan midfielder Younes Belhanda found the net with his powerful shot at the 39th minute of the game.
As Akhisarspor were not able to score a goal to draw the game in the second half, Galatasaray won the final 1-0 and lifted the Super Cup.
Both teams also played in last year's Turkish Super Cup final and Akhisarspor beat Galatasaray 5-4 on penalties.
Akhisarspor relegated from the Turkish Super Lig as Galatasaray bagged the Turkish Super Lig title previous season.
More about: #Galatasaray