"Power did a great job and the strategy was right", owner Roger Penske said.
Four straight pole winners have won the race, including Power, who has won all three from the No. 1 starting position.
"It's been a slow start for us, so it's fantastic to get the win", the first three-time race victor said. "You're given equipment week in, week out to win, and yeah, I have to say it's awesome to be a part of that history of Penske Racing because it's such a deep history". The only other top-10 he had this season was in the season opener at St. Petersburg.
"And then it was obviously about having a good restart and when to fuel save." said Power.
"Once I got past him it was pretty straight forward because we were much faster".
Graham Rahal also made up for a poor qualifying session to score a ninth-placed finish ahead of RLL racing team-mate Takuma Sato, the Japanese driver had a rough start to the race after he was hit by a flying Spencer Pigot on the opening lap in Turn 5 and forced onto the grass and dropped towards the back of the field. A similar situation occurred in testing on the Indianapolis Motor Speedway last week, when geese ventured on track as Schmidt Peterson Motorsports' Robert Wickens was attempting to complete his Rookie Orientation Program.
But Wickens had to go to blacks on his Lap 41 pit stop and Power came in one lap later and bolted on the softer, faster-optional Firestone tire.
Seven drivers led the race, tying a record set in 2014, and there were 214 total passes.
But the steady veteran didn't allow any of those potential problems to stop him as Chevy took a 3-2 lead over Honda in the engine manufacturer's chase.
Three-time Indianapolis 500 victor Helio Castroneves finished sixth in his season debut, 14.3860 seconds behind, after starting 10th.
While Newgarden won two of the first four INDYCAR races this season, a successful start to his title defense, Saturday was a struggle.
The Indianapolis 500 is the next race in the championship in a fortnight.