Nick Ritchie and Patrice Bergeron scored in the 2nd duration and Matt Grzelcyk added an objective late in the 3rd for the Bruins (31-14-6, 68 points), who have actually made the playoffs in each of the last five seasons and in 12 of the previous 14 seasons.
The Bruins 4th consecutive win, paired with the New York Islanders 4-2 loss to the Buffalo Sabres, vaulted Boston into third location in the East, one point ahead of the Islanders.
The shutout was the second of the season and the second in five starts for Rask, who likewise blanked the Sabres in a 2-0 win on April 20.
Scott Wedgewood made 39 saves for the Devils (17-28-7, 41 points), whose three-game winning streak was snapped.
The Devils had seven of the very first 9 shots in the third but threatened just once, when Jesper Boqvists wrister from point-blank range cruised over the web with 3:27 left.
The Bruins iced the success 44 seconds later, when Grzelcyk got credit for the objective when his shot from the blue line glanced off Devils defenseman Ryan Murray and fluttered previous Wedgewood.
— Field Level Media
Tuukka Rask stopped all 20 shots he dealt with Monday night as the Boston Bruins clinched the final playoff area in the East Division with a 3-0 win over the New Jersey Devils in Newark, N.J.
The Bruins outshot the Devils 17-4 in a scoreless first duration prior to breaking through in the second.
An end-to-end rush by the Bruins ended with Jakub Zboril passing across the ice to a wide-open Ritchie, who fired a shot from the best faceoff circle that cruised beyond Wedgewoods glove at the 9:08 mark.
A second effort led to the Bruins 2nd goal a little under nine minutes later on.
Wedgewood deflected a shot by David Pastrnak before Brad Marchand corralled the rebound. Marchand skated around the net and dished to Bergeron, who was surrounded by 5 Devils skaters yet still handled to tuck the puck through Wedgewoods legs with 2:06 left in the middle period.