Hamburg, which opened the season with two straight losses, has won three in a row and moved into third place in the standings. The Freezers' win also ended Kassel's two-game win streak.
With former Freezer Mark Greig in the penalty box for tripping, Brad Purdie opened the scoring on the power-play at 18:11 of the first. Hamburg doubled the lead to 2-0 with only three ticks left in the period when Wayne Hynes knocked home the rebound after a slapshot from Shane Peacock.
Defenseman Christian Laflamme scored Kassel's only goal with 6:11 to go - not enough to spark a comeback against the disciplined Freezers, though.