Joseph stopped 32 shots for his 406th career win, eighth in NHL history, and the Coyotes ended Dallas' five-game winning streak with a 4-1 victory Friday night.
Dallas scored on only one of 12 power plays, failing to capitalize on a two-man advantage for 33 seconds with less than 13 minutes remaining.
"We had a great penalty kill," Joseph said. "The boys did a good job of letting me see the puck. Our penalty kill was the difference."
The Stars had gone 13 games with at least three goals, one short of matching the franchise record. Dallas outscored opponents 53-36 during that stretch, but Joseph frustrated the Stars all night.
"They have a lot of team speed and a strong group of forwards," Phoenix coach Wayne Gretzky said. "We made a couple of adjustments after the second period and then we played a smart third. I'm thrilled with the victory."
Comrie was stopped by Dallas goaltender Marty Turco on a penalty shot at 13:16 of the final period that would have extended Phoenix's lead to two goals, but Mara made it 3-1 at 14:45 while Phoenix had a two-man advantage.
"I made a move and (Turco) just made a great save," Comrie said. "But we were able to keep the pressure on and we got the power-play goal right after that."
Jamie Lundmark added an even-strength goal for the Coyotes at 15:43 of the final period to extend the lead to 4-1.
Jussi Jokinen scored on the power play for the Stars, 8-2 in their last 10 games. Dallas has at least one power-play goal in 13 straight games, the second longest streak in franchise history. But the Stars' inability to cash in on any of their other 11 man-advantage situations proved to be their undoing.
"Their power play beat our power play and that was the bottom line," Stars coach Dave Tippett said. "I still think we did some good things. But they scored on two 5-on-3s and we didn't score on two 5-on-3s."
Joseph had a busy first period, stopping 16 shots and negating six Stars power plays, while the Coyotes put only five shots on Turco.
Comrie capitalized on a two-man advantage at 7:24 of the opening period, firing a rebound into an open net for a 1-0 lead.
Doan made it 2-0 at 5:35 of the second period when his power-play drive from the left circle trickled in off Turco's pads.
Jokinen's power-play rebound at 8:37 of the second period pulled Dallas within 2-1 on the Stars' 23rd shot.
Joseph still dominated the period with 10 more saves, the toughest coming on Martin Skoula's close-range attempt at 15:04 while the Stars were on their eighth power play.
"We were getting shots but not that many that were point blank," Dallas center Mike Modano said.
- Stars D Jon Klemm was back in the lineup after missing two games with a groin injury.
- The crowd was announced at 18,584, the largest for a regular-season hockey game at the American Airlines Center. There were 55 standing room tickets included in the total.
- The Stars' franchise record for consecutive games with at least one power-play goal is 17 from Oct. 11-Nov. 18, 1986, when the team was based in Minnesota.
- Phoenix is 4-8-3 in its last 15 meetings with Dallas.
- Comrie is 0-for-3 on career penalty shots.
- Dallas' Bill Guerin played in his 900th career game.