Ryan Strome had a goal and an assist, Alex Killorn scored, and John Gibson made 30 saves for the Ducks (23-37-3), who had won three of four.
“We didn't quit. We kept playing hard until the end," Strome said. "I'd say that's a positive take out of it, but a lot of lessons going against a team like that, that's just such a complete team."
The Stars built a 3-0 lead in the first period while outshooting the Ducks 20-8.
Tanev gave Dallas a 1-0 lead at 1:14 of the first period when his wrist shot from the right point went off the stick of Anaheim forward Troy Terry and over the left shoulder of Gibson. It was Tanev’s first goal since being acquired from the Calgary Flames on Feb. 28.
"I like what I've seen," DeBoer said of Tanev. "He's got great feet, he can skate the puck out of trouble, he can also move it. He's hard to play against, he blocks shots, he's a great add for our group."