The veteran Patriots' quarterback earned his 10th Player of the Week award -- and his third straight -- after a career- and franchise-high six touchdown passes on 21-for- 25 passing for 354 yards, as unbeaten New England (7-0) trounced Miami, 49-28.
The possible MVP candidate needs two touchdown passes this season to surpass his career high of 28 in 2002 and 2004.
He was joined in the AFC by Indianapolis end Dwight Freeney (defense) and Tennessee place-kicker Rob Bironas (special teams).
Bironas booted a record eight field goals, as the Titans beat Houston, 38-36.
Griese threw a touchdown pass in the final nine seconds after a 97-yard drive, as the Bears edged Philadelphia, 19-16. Umenyiora recovered two fumbles, as the Giants beat San Francisco, 33-15.