Joseph recorded his second straight shutout and Gary Roberts scored twice as the Toronto Maple Leafs took total control of their Eastern Conference quarterfinal series with a 3-0 blanking of the punchless Senators.
After a 1-0 overtime triumph on Friday, Joseph extended his postseason shutout streak against Ottawa to 166 minutes, 50 seconds dating to the second period of Game Six of last year's series.
"Cujo's been incredible. We can see the frustration on their faces now," Maple Leafs right wing Steve Thomas said.
"I don't know if we're shocked, but it's a check of our character," Senators coach Jacques Martin said. "You have to believe in yourself and keep things simple. We just have to keep competing hard."
Joseph stopped 37 shots Saturday, helping Toronto kill all five power plays. His 11th career playoff shutout moved him past Maple Leafs president Ken Dryden into seventh place on the all-time list.
"We've played extremely well. The guys have been blocking shots and clearing rebounds," Joseph said. "I think there's a definite sense of commitment to team defense out there. ... Momentum is a big thing in the playoffs and we've got it on our side."
Sergei Berezin scored the only goal Joseph needed 2:49 into the first period, beating goaltender Patrick Lalime between the pads with a 50-foot slap shot.
"We knew it would be a tight-checking series. Obviously, scoring the first goal on the road was huge for them," Senators captain Daniel Alfredsson said.
Gary Roberts provided the rest of the offense, scoring midway through the second period and again at 7:12 of the third.
"They were a couple of ugly ones, but I'm used to those," Roberts said. "A lot of times, stubbornness and determination pays off."
Joseph made eight saves in the first period and 18 in the second. Roberts gave him a little cushion 9:15 into the second with his 15th career playoff goal and first since 1999.
After Lalime stopped Mats Sundin's wraparound attempt at the left goalpost, Roberts tracked down the rebound and banked a shot off defenseman Wade Redden's skates. He fished out the puck and jammed it past Lalime.
Moments later, Joseph made a sprawling stop on Alfredsson during a Senators' power play. With 4:11 left in the period, he got his right pad on Shawn McEachern's shot from the left side and dove to the other side of the net to cover the rebound.
"We've played well in front of Cujo, but he's made key saves when he's had to," Roberts said.
Roberts capped the scoring with 12:48 remaining. After intercepting rookie defenseman Karel Rachunek's pass behind the Ottawa net, he scored on a wraparound while falling at the right post.
Game Three is Monday at Toronto.
The Maple Leafs have won 22 of 25 playoff series when leading two games to none.
"It's only two games of the four we need," Thomas said. "We knew before the series started we were capable of playing this kind of hockey. And we're proving it out on the ice right now."
"We can't worry now," Alfredsson said. "We just have to go game by game."
Center Alexei Yashin, who led the Senators in scoring in the regular season, has not scored a point in eight straight playoff games dating to the 1998 conference semifinals against Washington.