Running back Sammy Morris capped an 11-play, 80-yard scoring drive with a 5-yard touchdown run.
The Patriots now lead, 14-3, with 3:01 remaining in the third quarter.
Quarterback Matt Cassel completed all four passes he threw on the drive for 39 yards. Since taking over for Tom Brady, Cassel has completed 10 of 13 passes for 123 yards and a TD.
Morris is the Pats leading rusher with 47 carries on six carries.