The Patriots had pulled to within a touchdown of the Dolphins after trailing 17-0. But Miami again has stretched its lead to two scores.
Duke Johnson scored on a 1-yard run, completing an eight-play, 75-yard drive.
Miami leads 24-10.
Tagovailoa is 12-of-18 for 92 yards and a touchdown.
Johnson has run for 94 yards on 15 carries as the Dolphins have 133 rushing yards.