Laval registered first on the scoreboard with a 42-yard field goal by Boris Bede for a 3-0 early lead.
At the end of the first quarter, Frederic Plesius picked off Montreal quarterback Yan Cyr and brought the ball back 57 yards to increase the lead 10-0.
Montreal (1-1) had a strong second quarter as quarterback Nadeau-Piuze narrowed the gap to 10-7 with a touchdown on a one-yard run that closed a 65-yard drive.
Then, just over three minutes later, the Carabins took the lead after a catch of 29 yards of Felix Prevost in the end zone, bringing the score to 14-10 Montreal.
"I am disappointed with our discipline in the second quarter, it was shot in the foot a little," said Laval head coach Glen Constantin. "But we played the first quarter and a flawless second half. We must learn to play well for 60 minutes."
Elsewhere in CIS football on Saturday: Acadia 43 StFX 10; Concordia 25 Bishop's 18; Toronto 10 York 8; No. 2 Western 48 No. 3 McMaster 21; Ottawa 19 Queen's 6; Guelph 65 Waterloo 13; Lancers 41, No. 8 Golden Hawks 40; and Manitoba 22, Alberta 20.
At Laval, Que., the home side took the lead just before half time as Sebastien Levesque plunged in the end zone from one yard out with less a second to go.
The only scoring in the second half came when receiver Guillaume Rioux caught a nine yard pass from Prud'homme to make it a 24-10 lead that Laval (2-0) would not relinquish.
"Montreal has a very good team and they played an excellent game," said Laval head coach Glen Constantin. "I liked our intensity in the first quarter, the performance was good. It was important to win our first home game."
Laval's will next take on undefeated Sherbrooke on Saturday while Montreal hosts Saint Mary's.
Axemen 43, X-Men 10
At Antigonish, N.S., quarterback Kyle Graves went 18-for-27 for 299 yards and three touchdowns as Acadia cruised past StFX.
Taylor Renaud was the leading receiver with five catches for 87 yards, while Michael Squires caught two TDs
Justin McLean caught Acadia's only touchdown, a 37-yard pass from Cory Wensley.
Stingers 25, Gaiters 18
At Lennoxville, Que., Jordan Heather went 25-for-45 for 327 yards and two TDs but it wasn't enough as Concordia (1-1) downed Bishop's (0-2).
Concordia took the lead for the first time at on Kris Robertson's 56-yard punt return at 13:57 of the first quarter, putting the visitors up 9-7. A single and Concordia's second safety touch of the day combined to give the Stingers a 12-10 lead.
Stingers quarterback Terrence Morsink finished with 137 yards passing, as he went 16-for-35 with one touchdown and one interception.
Varsity Blues 10, Lions 8
At Toronto, Andrew Lomasney's 37-yard field goal with less than one minute remaining in the game proved to be the difference as the Varsity Blues edged the Lions in the annual Red & Blue Bowl held at York University.
It was the lowest scoring game in Red & Blue Bowl history.
The previous record was 20 points, which came in a 14-6 Lions win in the 33rd Red & Blue Bowl.
The Lions are now 0-2 to start the season while Toronto moves to (1-1)
No. 2 Mustangs 48, No. 3 Marauders 21
At Hamilton, Western quarterback Kyle Quinlan threw 307 yards and two touchdowns as the Mustangs opened their season with a victory over McMaster.
Quinlan also ran in a TD and had 45 yards of rushing for Western. (1-0).
Tyler Varga led McMaster (0-1) with 149 yards of rushing and four touchdowns.
Gee-Gees 19, Gails 6
At Ottawa, Aaron Colbon threw two touchdowns in the second quarter as the Gee-Gees prevailed against Queen's University.
Colbon finished with 146 yards of passing while Brendan Gillanders led all rushers with 161 yards.
Gryphons 65, Warriors 13
At Waterloo, Ont., Guelph spoiled the Warriors' home opener as Gryphons quarterback Chris Rossetti threw 241 yards for four touchdowns.
Evan Martin threw two TDs for Waterloo () but was also intercepted five times.
The win moves Guelph to 1-1.
Lancers 41, No. 8 Golden Hawks 40
At Waterloo, Windsor's Dan Cerino capped a wild comeback as he punted a single with no time on the clock to lift the Lancers over Wilfrid Laurier.
Lancer quarterback Austin Kennedy, who came on in relief of starter Sam Malian, finished the game 25 of 37 for 457 yards and five touchdowns. He also added 122 yards on the ground.
Windsor receiver Jordan Brescacin of Tecumseh, Ont., led all receivers with 183 yards and two touchdowns.
Laurier was led by running back Anton Bennett, who finished the game with 132 yards rushing and a touchdown. Receiver Felix Odum returned a kickoff 92 yards for a touchdown.