Jonathan Huberdeau scored twice, and Evgenii Dadonov also scored for Florida, which got 31 stops from Roberto Luongo, including a couple of big ones early.
The Panthers moved within one point of idle New Jersey for the second wild card in the Eastern Conference.
Keith Yandle, Nick Bjugstad, Evgeni Dadonov, Jamie McGinn and Frank Vatrano each had a goal and an assist for Florida.
Making his first start in six games, Reimer earned his third shutout of the season as Nick Bjugstad had a goal and an assist, and Vincent Trocheck and Aaron Ekblad also scored.
The Panthers are three points behind New Jersey for the final playoff spot in the Eastern Conference.