Marchand, Boston's top goal-scorer in the regular season, got his first of the postseason on a pass from Patrice Bergeron. Marchand had carried the puck up the right side, passed it to Bergeron and kept going toward the net. Bergeron passed across the slot and Marchand tipped it past goalie Henrik Lundqvist from the left side of the crease.
The Bruins carried the play throughout overtime. They applied constant pressure, but couldn't score during a power play when Derek Dorsett was penalized for interference at 2:20 of overtime.
Boston nearly won in regulation, but Johnny Boychuk's shot from the right point clanged off the left post with one-tenth of a second remaining. Then he hit the left post at the other end of the ice at 6:34 of overtime.
Zdeno Chara gave Boston a 1-0 lead at 12:23 of the second before Ryan McDonagh tied it with 1.3 seconds left in the period. Derek Stepan put the Rangers ahead 2-1 just 14 seconds into the third period, and Torey Krug tied it on a power play with his first NHL goal in four career games.
Game 2 of the best-of-seven Eastern Conference semifinals is set for Sunday night in Boston.
Both teams advanced with Game 7 victories Monday night. The Bruins overcame a three-goal deficit with 11 minutes left in regulation and beat the Toronto Maple Leafs 5-4 on Bergeron's goal in overtime. The Rangers beat the Washington Capitals 5-0 behind Lundqvist's second consecutive shutout.
On Thursday, the Bruins played without three injured veteran defensemen: Andrew Ference, Dennis Seidenberg and Wade Redden. Three rookies started on defense: Dougie Hamilton, Matt Bartkowski and Krug, who was called up from Providence of the AHL after Seidenberg was hurt early in the first period Monday night.