Radek Faksa scored, and Jake Oettinger made 26 saves for the Stars (37-25-3), who have won four of five to move one point ahead of the Vegas Golden Knights for the second wild card from the Western Conference.
"We don't get fooled by the standings," Dallas coach Rick Bowness said. "The most important thing is we play Dallas Stars hockey,"
Derek Grant had a goal and an assist, Trevor Zegras had two assists, and John Gibson made 29 saves for the Ducks (27-30-11), who have lost 10 straight (0-8-2).
"It shouldn't matter if you've won 10 in a row or lost 10 in a row. It goes back to what we've believed in all year: come in and win the day," Anaheim coach Dallas Eakins said. "That's it. Whatever we've lost here in a row, what does that matter about tomorrow? It should matter nothing about tomorrow."
Hintz tied it 2-2 at 8:28 with his 29th goal of the season, a one-timer from the slot off Jason Robertson's backhand pass from behind the net.
"When he has the puck, you just have to find the open ice and try to get open, and usually it goes there," Hintz said of Robertson, who had his 30th assist of the season.