PITTSBURGH — The Montreal Canadiens remain perfect. The Pittsburgh Penguins remain an imperfect work in progress.

Tomas Fleischmann finished off an odd-man rush with his first goal of the season early in the third period to lift the unbeaten Canadiens to a 3-2 win over the winless Penguins on Tuesday night.

Fleischmann scored off a feed from David Desharnais and Carey Price made it stand up as Montreal improved to 4-0. Max Pacioretty scored twice for the Canadiens. Price finished with 31 saves as Montreal wrapped up a perfect four-game road swing to start the season.

“I think we were hard on them early,” Pacioretty said. “I think we agitated them a bit. I think you can see that they got frustrated and that’s the type of style that we play.”

Beau Bennett and Kris Letang scored for Pittsburgh, which fell to 0-3. Phil Kessel picked up an assist in his home debut with the Penguins, who picked the All-Star forward up over the summer in a blockbuster trade with Toronto.

Marc-Andre Fleury stopped 27 shots but Pittsburgh is winless through three games for the first time since 2005.

“You have to find ways when you’re 0-3,” center Sidney Crosby said. “If your desperation and urgency isn’t there, then there’s a problem.”

Twice Pittsburgh rallied from one-goal deficits to tie it but had no answer after Fleishmann finished a rush that started when Penguins rookie forward Sergei Plotnikov appeared to be tripped by Desharnais in the Montreal zone, springing the Canadiens. Fleischmann ended it by easily slipping a pass from Desharnais by Fleury.

Price, the reigning MVP, kept the Penguins at bay, including a beautiful glove save on Crosby with 2:17 to go in which the goaltender smothered the one-timer with his glove and left pad while lying on his stomach to preserve Montreal’s best start since the 1977-78 team won its first six games.

“It’s kind of just a desperation play,” Price said. “It’s just a pass across and I just do what goalies do. Just kind of kick out a limb and found a way to stop it. I got pretty lucky on it.”