Adams opened the scoring with a wrist shot at 3:19 of the first period and then closed the books with an empty-net goal in the final minute of play.
Andrew Ladd scored the only goal for the Jets at 18:25 of the third period.
Ondrej Pavelec stopped 25-of-27 shots for Winnipeg, which has lost six of its last eight games.
Yosemite climber falls 30 feet, suffers major injuries
'How to Train Your Dragon 2' releases 5-minute clip