The lead goal came early when Akinkunmi Amoo, 19, offered a nice long shot.
2-0 came just before the break after a delicious free kick variant.
Amoo played nicely forward Aziz Ouattara Mohammed who put in the ball.
At the beginning of the second half Vladimir Rodic was very close and in the 70th minute it was small.
From a small angle, he lifted the ball over the goalkeeper and thus broke a 33-match goal drought.
With the victory, the hope of a European place for Hammarby lives on, while IFK Gothenburg continues to have a hard time.
Most recently, they lost 3-1 away to AIK.
IFK Gothenburg's Oscar Wendt was in the starting eleven, but injured himself in the warm-up and was replaced by the Brazilian Bernardo Vilar.