Bishop, who has been only a part-time goaltender during his four years in the NHL, was acquired by the Lightning in a trade with Ottawa this week and promptly went to work.
He wound up recording his second shutout of the season and the third of his career.
Teddy Purcell broke a scoreless tie 28 seconds into the second period and goals from Tom Pyatt and Keith Aulie during the last 4:05 of the stanza boosted the Lighting to a 3-0 advantage.
The Lightning began the night seven points out of the final playoff position in the Eastern Conference with five teams between them and the No. 8 spot in the standings.