Haula scored an empty-net goal at 14:48 of the third period for the 4-0 final.
"We've grown as a team," Haula said. "Even during the playoff series, we've taken steps. A lot of credit to all the younger players of realizing what it takes to win and doing the right things."
New Jersey became the first team to win a game at home in the series.
"We've got to go home and win one game," Rangers forward Chris Kreider said. "... We've had a terrific fan base all year, but we let them down. We let ourselves down at home so it's up to us to show up and play the way we want to play from puck drop. It's time to play a full 60 (minutes) and win a hockey game."
NOTES:Schmidhas one regular-season shutout in 24 NHL games (18 starts); he made 23 saves in a 7-0 win against the Philadelphia Flyers on Feb. 25. ... It was the first playoff shutout for the Devils since Martin Brodeur made 26 saves in a 4-0 win against the Florida Panthers in the Eastern Conference First Round on April 19, 2012, and the first shutout against the Rangers since April 26, 2006, when Brodeur made 25 saves in a 3-0 victory in the first round. ... Schmid became the third rookie goalie in Devils/Colorado Rockies/Kansas City Scouts history to earn a shutout in the playoffs, joining Brodeur (22 saves in a 2-0 win against the Boston Bruins in the Eastern Conference Semifinals on May 9, 1994) and Sean Burke (31 saves in a 3-0 win against the New York Islanders in the Patrick Division Semifinals on April 9, 1988). ... Palat scored his 50th NHL playoff goal to join Jaromir Jagr (78 goals) as the second Czechia-born player to reach the milestone. ... New York is 0-for-10 on the power play in the past three games after going 4-for-10 in Games 1 and 2.