The Tigers also came from behind in the eighth inning Thursday in a game they eventually won over the Astros in 14 innings.
Houston took a 3-2 lead in Friday's contest with a three-run seventh, but the Astros missed a chance for more after having two men on with just one away.
The inability to bring in more runs in the seventh wound up costing the Astros, who lost their fourth straight game.
Drew Smyly (2-0) retired all six men he faced to get the victory in relief. Jose Valverde allowed a one-out walk in the ninth, but recorded his third save in as many chances.