Vladimir Tarasenko and Alexander Steen scored in the second period to help the St. Louis Blues rally for a 4-1 win over the Arizona Coyotes on Tuesday night.

Kevin Shattenkirk and David Backes also scored and Jake Allen made 22 saves as the Blues snapped a three-game losing streak.

Steve Downie scored for the Coyotes and Mike Smith stopped 18 shots.

The Blues had scored just three goals in their previous three games, going 0-2-1. St. Louis was 2-2-3 over the past seven and 4-5-3 over its last 12. They have now won six straight against the Coyotes and are 9-0-1 in the last 10 meetings.

The Coyotes went 0-5 on their road trip through Nashville, Detroit, Buffalo, Carolina and St. Louis. They were outscored 24-10.

Arizona scored first against the Blues, with 7:48 left in the first period, when Downie slipped a rebound past Allen for his second of the season.

It took the Blues 13:34 to get their first shot on goal. The Coyotes outshot the hosts 9-3 in the first period as the Blues missed the net on eight shot attempts.

St. Louis tied it 5:08 into the second period. Jay Bouwmeester delivered a long spring pass to Magnus Paajarvi, who found Tarasenko alone in the slot and Tarasenko buried it for his 16th.

The Blues took a 2-1 lead on a short-handed goal from Steen, his 10th of the season, on a 2-on-1 after a nice pass by Kevin Shattenkirk with just 8.8 seconds remaining in the second period.

It was the Blues' first short-handed tally of the season and the league-high seventh allowed by Arizona.

The Coyotes thought they tied it with a power-play goal with 2.6 seconds left in the period, but it was waved off by the officials. Tobias Rieder was tripped by Alex Pietrangelo and slid into Allen and then Anthony Duclair put home the rebound.

Shattenkirk scored at 6:53 of the third after a back-handed cross-ice pass from Jori Lehtera. Shattenkirk's fourth of the season, also assisted by Robby Fabbri, gave him a two-point night.

Backes added an empty-net goal with 1:02 remaining.

NOTES: The Blues placed F Steve Ott (hamstrings) on injured reserve on Sunday, recalled D Petteri Lindbohm from the AHL and assigned D Joel Edmundson to the AHL. ... F Viktor Tikhonov made his debut with the Coyotes after being claimed off waivers from Chicago on Sunday. Tikhonov was drafted by Arizona. ... Coyotes F Martin Hanzal was scratched with a lower-body injury. The team announced he is day to day