Newman became the 32nd winner of the "Great American" race in its 50th running. The South Bend, Ind., native won the "500" for the first time in his career with his 13th victory on the circuit.
It was the ninth time the race was decided on the final lap.
"It was all about Kurt Busch, I couldn't have won it without him," Newman admitted. "It was just being at the right place at the right time."
Reed Sorenson was fifth.
The season-opening Sprint Cup race had 16 different leaders and 42 lead changes.
Two-time Sprint Cup Series champion Jimmie Johnson was 27th.
Celebrity Families of 2014 [PHOTOS]