The Panthers' 94 points were bested by five teams in the Eastern Conference, but they were enough to bring Florida the first division crown in franchise history. Florida finished two points in front of Washington.
Florida will enter the playoffs as the No. 3 seed thanks to the division crown and will have home-ice advantage in the opening round against New Jersey.
Joni Pikanen produced Carolina's only goal 8:26 into the third and Mikael Samuelsson tacked on an empty-net tally with 1:24 to go.
Clemmensen made 34 saves, while Florida put three goals past Brian Boucher on 25 shots.
The Florida franchise began operation in 1993 and this will be its fourth post-season trip. The Panthers had not been to the playoffs since 2000.