It was Boston's second victory over the Jets in as many nights, following a 3-2 win at Winnipeg.
The Bruins grabbed control with two goals in the first six minutes. Carl Soderberg opened the scoring, assisted by some slick passing from linemates Chris Kelly and Reilly Smith. Johnny Boychuk then beat Al Montoya on his glove side from inside the blue line.
Winnipeg failed to generate much of an attack, generating only four shots in the second period and three in the third.
Jordan Caron scored 13 minutes into the second, and Nick Johnson and Patrice Bergeron added third-period goals for the Bruins.
Some 12,500 of the 15,190 seats at Saskatoon's Credit Union Centre were filled, with the crowd cheering overwhelmingly for Boston.
The Bruins looked potent on offense despite the loss of Jaromir Jagr, who joined the New Jersey Devils on a one-year contract during the offseason.
Boston captain Zdeno Chara and longtime Calgary Flames star Jarome Iginla displayed some good chemistry on the power play, setting up multiple scoring chances but failing to produce a goal.