"It's tough to turn the ball over a couple of times and win the game," Kansas City coach Andy Reid said. "With that we were able to score points ... and get up fairly quickly and decisively."
"We got the couple of turnovers in the red zone and were able to capitalize and I think in the end that was the difference," Smith said.
Hoyer struggled in his debut before Ryan Mallett took over with about six minutes left and led Houston on two scoring drives to cut the lead to a touchdown.
"I feel terrible," Hoyer said. "I feel like I let this entire organization down. I mean, it just went from bad to worse."
Coach Bill O'Brien was asked if Hoyer would start next week.
"I don't know," he said. "We'll review the film, and we will find out once we get into next week."
J.J. Watt had two sacks, nine tackles and tied a career high with six tackles for losses. Jadeveon Clowney, last year's top overall pick, had four tackles, with one for a loss, in his first game since microfracture surgery in December. He didn't start but came in on the second play and played mostly on third downs after the first series.
Hoyer elicited boos throughout the afternoon, and the home crowd began chanting "Mallett! Mallett!" after Hoyer was called for intentional grounding in the fourth quarter. He was 18 of 34 for 236 yards. Mallett was eight of 13 for 98 yards.
Kelce pushed the lead to 14-0 when Smith found him wide open on a 42-yard touchdown pass. Kelce finished with 106 yards receiving.
Hopkins reached over a defender to grab a 4-yard touchdown pass late in the first quarter. But Randy Bullock missed the first extra point of his career and the first since the NFL moved extra point attempts from the 2-yard line to the 15, to leave Houston down 14-6. He had made all 66 of his previous attempts.
Watt's first sack came in the second quarter when Jah Reid knocked his helmet off trying to slow him down. Watt got to Smith anyway, taking him down for a 9-yard loss without his helmet. Kansas City's second field goal of that quarter came two plays later to extend the lead to 20-6.
Another sack by Watt, last year's Defensive Player of the Year, came with an assist by Clowney in the third quarter. Clowney got into the backfield, flushing Smith from the pocket and Watt dragged him down as he tried to evade Clowney.
"It's been a long, long comeback, so it felt good to get back," Clowney said.
Hopkins grabbed an 8-yard touchdown pass from Mallett in the fourth quarter and also caught a pass for the 2-point conversion. A 47-yard field goal by Bullock with less than two minutes remaining got Houston within 27-20.
NOTES: Kansas City safety Eric Berry had two tackles in his first regular-season game since revealing he had lymphoma last November. Berry was declared cancer-free in June and cleared to practice just before camp. ... WR Jeremy Maclin had 52 yards receiving in his debut for the Chiefs after spending the first five years of his career with the Eagles.
Copyright 2015 by The Associated Press