Revis picked off Miami's Matt Moore at the New York goal line with 5:52 left in the first quarter and returned it 100 yards -- the longest interception return ever in a Jets home game.
His second pick-off in the fourth quarter gave Revis his third career two-interception game.
Mark Sanchez completed 14-of-25 pass attempts for 201 yards with a touchdown and ran for a 5-yard score just before halftime, handing the Jets (3-3) a 14-6 lead at the break.
He iced the game early in the fourth quarter after eluding the rush and hooking up with Santonio Holmes on a 38-yard scoring play.
Moore finished 16-of-34 through the air for 204 yards and two interceptions for the Dolphins (0-5), who lost their fifth straight to start the season.
Brandon Marshall made six grabs for 109 yards.