Bill Belichick's side staged a second-half comeback to beat the Texans 34-31 in their AFC clash at Reliant Stadium, provoking the outburst from Smith, whose team slipped to their 10th straight defeat.
Brady told radio station WEEI: "You know, truthfully, we just played a little bit better in the second half.
"We've kind of been through a lot of this before. I don't really think much of it, truthfully.
"I just kind of have moved on. I've already started work on the Cleveland Browns, trying to find a way to play those guys better and get off to a better start."
The Patriots moved to 9-3 in their season with the win and can secure a playoff berth next week with a victory and a defeat for rivals the Miami Dolphins.