"Credit to a lot of guys, but certainly Brady Tkachuk tonight," Senators coach D.J. Smith said. "He dragged us into that battle. I don't know if he's played a better game since I've been here."
Tim Stutzle and Josh Norris each scored on his first NHL shootout attempt for the Senators, who swept the two-game set. They defeated the Canadiens 3-2 in overtime here Sunday.
Drake Batherson had a goal and an assist for Ottawa (6-14-1). Matt Murray made 32 saves and didn't allow a goal in the shootout.
"That's got to be one of the crazier games I've been a part of," Tkachuk said. "Just a lot going on. I'm excited about how I'm going to feel tomorrow morning. A lot of the guys are going to be excited about how they feel tomorrow. We put the body on the line, everybody did, everybody sacrificed, and we got rewarded."
Shea Weber scored twice, Phillip Danault had two assists, and Carey Price made 35 saves for Montreal (9-5-4), which is 1-3-2 in its past six games.
"Obviously, that's not the result or the way I want to play," Price said. "It's a process I'm going to have to stick with and figure it out."