After a scoreless first period, MacKenzie broke the deadlock with a power play goal 1:27 into the second. Garlock made it a 2-0 game at the 7:19 mark.
Vigilante extended the lead to 3-0 with a goal 10:30 into the third frame, and Kelly closed the scoring 2:39 later. Kevin Harvey contributed two assists for the Crunch.
AHL All-Star goaltender Mike Brodeur made 29 saves in a losing effort for the Americans, who were blanked for the third time this season.
Syracuse is now 4-2-0-0 in the season series against Rochester and has outscored the Amerks by a 20-5 count in its four victories.