Ray Whitney's second goal of the season midway through the second period gave Dallas a 2-0 lead, but the Stars continued to get into penalty trouble, allowing three goals on their last four trips to the box.
"We didn't change too much of our approach," Quenneville said. "We didn't get away from our game, just tried to get on the offensive side of things, drew some penalties, and the power play cashed in. It was a real solid game for us."
Loui Eriksson put the Stars up 1-0 with a short-handed goal on a spectacular effort with 1.4 seconds remaining in the first period. He fought his way around defenseman Brent Seabrook at the Chicago blue line and fired a wrist shot that Crawford initially appeared to stop, but the puck came loose and slid just over the goal line.
Garbutt was awarded his first career penalty shot early in the second when he was pulled down from behind by Seabrook on a breakaway, but Crawford made a glove save on his backhand attempt.
Following a turnover by Michal Rozsival, Whitney found himself alone in front and his point-blank backhander over Crawford's shoulder gave Dallas a two-goal lead at 10:41.
The Blackhawks finally solved Lehtonen on a power play at 15:57 when Sharp attempted a pass through the crease that was inadvertently deflected in by Dallas defender Trevor Daley.
"To us, it was almost fun to watch how good he was playing," Kane said of Lehtonen. "Just making acrobatic save after acrobatic save."
Dallas forward Jaromir Jagr, who had two goals and two assists on opening night but has been held off the scoresheet since, left with an undisclosed injury late in the third period.
"I don't think it's anything big, but I haven't spoken to our training staff," Gulutzan said.
NOTES: During the game, the Stars announced that they signed restricted free agent center Jamie Benn to a five-year contract worth $26.25 million. ... The last time the Blackhawks opened the season with at least three straight victories was back in 1972-73, when Hall of Famers Tony Esposito and Stan Mikita led them to a 4-0 start en route to the Stanley Cup final. ... Dallas has allowed just one goal during 5-on-5 play through its first four games.