"That's pretty exciting men and women," Colts coach Frank Reich told reporters. "That's good stuff right there in the locker room right now. A lot of guys are really happy. We worked really hard to not just fight and scratch to get in the playoffs but to do something and make some noise."
Luck completed 19-of-32 pass attempts for 222 yards, two scores an an interception against the AFC South Champions.
Marlon Mack scorched the Texans on the ground, ripping up 148 yards and a score on 24 carries. Deshaun Watson completed 29-of-49 pass attempts for 235 yards, one score and an interception. He also rushed for 76 yards. Indianapolis held Texas wide receiver DeAndre Hopkins to just 37 yards on five receptions in the victory.
The Texans went 3-and-out on the drive following the Colts' game-opening score. Mack scored from two yards out on the Colts' next drive, finishing a 9-play, 75-yard scoring drive.
Luck gave the Colts a 21-0 edge with a touchdown toss to Dontrelle Inman 6:29 before halftime. The Texans added their lone score with 11:03 remaining.
"It was very tough," Texans star J.J. Watt said. "It's frustrating. You have to give the Colts a lot of credit for the way they played today, especially in the first quarter. We just didn't' do enough. It sucks."
The Colts will face the Kansas City Chiefs in the divisional round at 4:35 p.m. on Jan. 12 at Arrowhead Stadium in Kansas City, Mo.