MIAMI GARDENS, Fla. — Alex Smith threw three touchdown passes to lead the Kansas City Chiefs to their first win of the season, a 34-15 road victory over the Miami Dolphins on Sunday at Sun Life Stadium.

Two of Smith’s TD passes were to running back Joe McKnight, including a 4-yarder with 4:35 left in the game. That capped a nine-play drive that was set up by Frankie Hammond Jr.’s 47-yard punt return.

The Chiefs added a rather meaningless touchdown with 13 seconds left on a 6-yard run by running back Cyrus Gray.

Kansas City (1-2) snapped a five-game losing streak that dated to last season. The Chiefs’ most recent win before Sunday came last Dec. 15 against the Oakland Raiders.

Miami, which knocked off the New England Patriots in its season opener, fell to 1-2.

After a scoreless first quarter, the Chiefs mounted a six-play, 62-yard touchdown drive to go up 7-0. Running back Knile Davis capped the drive with a 21-yard run, breaking two tackles up the middle.

The Chiefs made it 14-0 with an eight-play, 76-yard drive that was capped by Smith’s 22-yard TD pass to tight end Travis Kelce with 1:32 left in the first half. Kelce caught a short throw over the middle and sprinted toward the left corner.

Miami ended the half with an eight-play 74-yard drive. But when Dolphins’ quarterback Ryan Tannehill’s 9-yard scramble was stopped at the Chiefs’ 4-yard line with two seconds left, Miami settled for a 22-yard field goal by Caleb Sturgis. Chiefs nose tackle Dontari Poe made the stop on Tannehill.

The Dolphins cut their deficit to 14-10 with a 1-yard TD pass from Tannehill to wide receiver Brian Hartline. The drive was set up when two Miami defensive tackles combined to take the ball away from Smith. Jared Odrick stripped the ball, and Derrick Shelby recovered at the Miami 19.

Smith made up for his mistake by leading a 10-play, 66-yard TD drive that was capped by a 11-yard flip up the middle to McKnight.

Miami cut its deficit to 21-13 on a 51-yard field goal by Sturgis. Miami’s “drive” went 0 yards but was set up by a 74-yard kickoff return by Jarvis Landry.

NOTES: Chiefs All-Pro safety Eric Berry, who suffered an ankle injury last week, did not play. CB Ron Parker moved to safety to fill the void. … Both teams played without their star RBs: Kansas City’s Jamaal Charles (ankle injury) and Miami’s Knowshon Moreno (elbow). Moreno rushed for 134 yards in his Miami debut, a Week One upset over New England, but got hurt early in last week’s loss at Buffalo. … Charles was second in the NFL last season with 1,980 yards, and the Chiefs were further hurt by the injury loss of backup RB De’Anthony Thomas. … Miami was also without three other would-be starters: C Mike Pouncey, OG Shelley Smith and LB Koa Misi. … Four ex-Dolphins, this year’s Walk of Fame inductees, were honored by the team on Sunday: Jeff Cross, Tony Nathan, Ed Newman and Sam Madison.