Winnipeg moved a point in front of Florida for the lead in the Southeast Division. The Jets have only the seventh-best record overall in the Eastern Conference.
Ondrej Pavelec took a shutout into the third period, but things got scary near the end of the contest.
Steven Stamkos gave Tampa Bay its first goal with 9 minutes to play, when he scored his league-leading 43rd of the season. Teddy Purcell then scored with 54 seconds left and Martin St. Louis added a goal on the power play with only 8 seconds to go. Pavelec wound up making 22 saves.
The Lightning had won four in a row.
Celebrity Families of 2014 [PHOTOS]