Dallas appeared to have a goal midway through the second period. Howard stopped Peverley's backhand shot but the puck came loose across the goal line after Peverley took another swipe at it. The play was ruled no goal.
"It was a turning point, but at the same time, we've still got to fight through things," Peverley said. "We could have done a better job regrouping."
The Red Wings took a 4-1 lead with 8:03 left in the second as Tatar split defenders at the blue line for a breakaway and his backhand went off Kari Lehtonen, who had replaced Ellis to begin the period, and into the net for an unassisted goal.
"They had a lot of odd-man rushes," Horcoff said. "It wasn't the type of game we want to play. We want to be quick in transition, but we can't be giving away pucks like that. We can't be giving up quality shots.
"A lot of our shots tonight were from the outside. We didn't get a lot of good second shots."
The Stars had nothing to show for a period during which they had a 15-5 advantage in shots and three power plays.
Zetterberg took a pass from Dan Cleary and one-timed the puck past Lehtonen from the left circle with 7:21 remaining.
Dallas lost its second consecutive game, both at home, by a combined score of 11-5.
NOTES: The Red Wings entered the game with the NHL's third-best road record, and improved to 13-4-3. ... Detroit C Pavel Datsyuk and D Danny DeKeyser did not dress. DeKeyser has a groin injury, but Datsyuk's absence wasn't explained. He didn't practice Friday, but skated with the team Saturday morning. Babcock said he had "no idea" how Datsyuk is. ... D Alexey Marchenko, the Red Wings' seventh-round draft pick in 2011, made his NHL debut. He played more than 13 minutes, drew a penalty and was plus-2. ... Dallas recalled Chris Mueller from Texas of the AHL on Saturday as insurance because four forwards — Horcoff, Peverley, Tyler Seguin and Ray Whitney — had been sick. The four all played, so Mueller was inactive. ... Stars D Aaron Rome left the game in the second period because of an upper-body injury. Ruff said Rome probably would miss the next week.