The Slovakia international found space on the edge of the box in Fenerbahce's league match against Genclerbirligi on March 3, 2012 and superbly hooked a volley into the top corner of the net following a set piece.
He saw off competition from Falcao's stunning bicycle kick, which came in second place, and an individual effort from Neymar, which completed the top three.
Stoch's winning strike was one of two goals he netted in an impressive 6-1 home win.
The 23-year-old attacker follows in the footsteps of players such as Neymar, who won the award for 2011, Hamit Altintop, and Cristiano Ronaldo, who claimed the inaugural edition.
The versatile attacker has been under contract with the Turkish giants since 2010, and previously turned out for clubs such as Twente, Chelsea and Nitra.