The award is voted on by supporters of the Premier League club, and Gyökeres took home the victory after collecting 48 percent of the vote.
He emerged victorious ahead of teammates Gabriel Jesus, Gabriel Martinelli and Martin Zubimendi.
During January, Gyökeres accounted for four goals - two in the Premier League and two in the Champions League.
In total, the striker has now scored 11 goals in 31 appearances in the red shirt after moving from Portuguese club Sporting this summer.
