Archer, who threw a complete game, one-hit shutout in his previous outing in Houston, confused the Astros' lineup for all but one inning Sunday, notching 10 strikeouts and surrendering only four hits in seven innings of work.
"[Archer] was outstanding," Rays manager Kevin Cash said. "Really, really got into a groove and stayed within himself. It was good to see."
It was Archer's fourth career win over the Astros in seven games.
"4-0 with Archer on the mound is a pretty tall task," Astros manager A.