New England's defense helped put away the Texans. Rob Ninkovich's leaping third-quarter interception stopped a drive, and six plays later, Brady hit Brandon Lloyd for a 6-yard score.
Schaub threw for two fourth-quarter touchdowns, but couldn't get the Texans within 10 points.
Unlike their 42-14 loss here a month ago, the Texans didn't fold early. J.J. Watt, their dominating defensive end, bothered Brady. And, when they fell behind 17-3, they managed to get back into the game.
Arian Foster did all the work after Manning's second big kickoff return, this one a 35-yarder that had 15 yards tacked on when kicker Stephen Gostkowski brought down Manning with a horse-collar tackle. The Pro Bowl runner covered all 47 yards on a five-play drive and his 1-yard run — he barely squeezed into the end zone — made it 17-10.
Houston forced a three-and-out, and a short punt gave the Texans another shot just before halftime. They got close enough for Shayne Graham to kick a 55-yard field goal as the half ended.
But the Patriots pulled away in the third quarter for coach Bill Belichick's 17th postseason win, third behind Tom Landry (20) and Don Shula (19).
Needing a quick jolt after being blown out by the Patriots on Dec. 10, the Texans got it on the opening kickoff from Manning. He took the ball 6 yards in his end zone and never hesitated in returning it. He broke free at the Houston 30 and wasn't run down until reaching the New England 12.
That spark didn't even last one play, though, and Houston wound up with Graham's 27-yard field goal 63 seconds in.
And when the Texans closed the first half with a 10-point spurt, they wasted the momentum by allowing a quick touchdown drive to open the third period. Brady went to the familiar (Welker and tight end Aaron Hernandez) on that series before second-year back Stevan Ridley scored on an 8-yard burst.
New England lost Gronkowski and Woodhead almost immediately: Woodhead left after one play and Gronkowski was injured on the eighth offensive down.
So Brady found other targets; he probably could complete passes to Belichick for big gains.
Vereen was an unlikely star. After gaining 400 yards overall during the season, he picked up 124 against the Texans. He had four touchdowns in the regular season.
NOTES: New England has played in eight AFC championship games, going 7-1, including 5-1 with Brady and Belichick. ... Brady threw for 344 yards, and Schaub threw for 343. Schaub's TD passes were 25 yards to DeVier Posey and 1 to Foster. ... Foster had 90 yards rushing, the first time in four playoff games he did not reach 100. But his 515 tie for most in a player's first four playoff games with Denver's Terrell Davis.
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