The latter two drivers dominated most of the race, but the Hendrick Motorsports teammates -- along with Clint Bowyer -- all made contact and spun around during the first two-lap overtime finish.
That enabled Newman, who had bumped Bowyer, to move into the lead. He then held off A.J. Allmendinger during the second and last green-white-checkered attempt, claiming his 16th career Sprint Cup Series win.
It was Newman's first victory since July at New Hampshire and denied the Hendrick team a milestone 200th Sprint Cup win.
Allmendinger finished second, 0.3 seconds behind, while Dale Earnhardt Jr. came in third.
Matt Kenseth and Martin Truex Jr. rounded out the Top 5.
Notable deaths of 2014 [PHOTOS]