Just seconds after Roman Josi gave the Predators a 3-2 lead at 7:33 of the third period, Tarasenko got control of the puck. He moved into the Nashville end, and after hesitating from the high slot, beat goalie Carter Hutton with a wrist shot at 7:49.
Tarasenko credited his father, Andrei, who coaches in Russia, for his tying goal.
“That was a set play that my father (taught) me,” he said. “If you do it right, it’s probably hard to catch it. I just tried to make it through.”
“There’s not many pure shooters,” Hitchcock said. “But he’s one of them.”
Brian Elliott, who has won 14 of his last 15 at home, stopped three of four shots in the shootout. Nashville fell to 1-7 in the tiebreaker.
Predators coach Barry Trotz was pleased to get one point.
“I thought it was a great point for us,” Trotz said. “You’re down to the St Louis Blues 2-0, and it’s a real hard rink to come into. They come at you hard, but I thought as the game went on we got better and better.”
Paul Gaustad, Mike Fisher and Roman Josi scored the Nashville goals, and Hutton turned aside 31 shots.
“Tarasenko is dangerous off the rush,” Trotz said.