"We didn't give them much time in our zone, and all these little things added up to playing a very disciplined game," Biron said.
Stamkos put the Lightning ahead 1-0 from the low slot off a pass from Matt Carle during a power play at 4:22 of the second. Martin St. Louis also assisted on the goal, giving him nine assists over the past five games.
Stepan tied it at 1 with 10:10 left in the second on a backhand rebound goal.
The Lightning nearly took a 2-1 lead 13 minutes into the second when B.J. Crombeen's apparent goal was disallowed for putting the puck into the net with a high stick. The call was upheld by a video review.
Tampa Bay's Cory Conacher hit the crossbar on a shot from just outside the crease later in the second.
The Lightning entered the day averaging 5.3 goals a game.
"I don't care what they averaged," Tortorella said. "I'm just glad we won the hockey game."
Notes: St. Louis has 11 assists and 14 points this season. ... New York G Henrik Lundqvist had started 27 of the Rangers previous 28 games against Tampa Bay. ... Garon started all four Tampa Bay games against the Rangers last season, going 2-1-1. ... Rangers LW Chris Kreider (ankle) is practicing with the team. ... Hagelin also had an assist. ... Stamkos had seven shots on goal.