The D-backs have now tied a team record with eight straight regular-season victories over the Dodgers. They go for a series sweep on Wednesday afternoon.
The win also assured the D-backs of series wins in each of their first matchups of the season against the division-rival Rockies and Dodgers.
"I think you want to get off to a good start," said Daniel Descalso, who put the D-backs on the board with a second-inning solo homer. "You saw the momentum that we had when we got off to a good start last year."
Godley allowed one run on four hits while working seven innings to help save a bullpen that had been worked hard in Monday's 15-inning, 2-1 win.
"My goal each and every time out is to do everything I can to help the team win," Godley said. "This was one of those times where it called for me to try to go a little bit longer, and I was glad I was able to do it."
Godley was in command from the start, with the lone run he allowed coming in the third when Austin Barnes led off with a double, moved to third on a sacrifice bunt and scored on Chris Taylor's sac fly.
"We know him," Dodgers manager Dave Roberts said of Godley. "He sinks it, he cuts it. He's got a plus-curveball. We got into some leverage counts and he put the ball on the ground and we couldn't capitalize. He sort of keeps you off balance and finds a way to miss barrels. And to his credit, he did that well tonight."
Arizona was able to pad its lead with three runs in the seventh, courtesy of four walks issued by relievers Scott Alexander and Pedro Baez. John Ryan Murphy added a solo homer in the eighth off Zach Neal, who was making his Dodgers debut.
"I think some of the emphasis that we had in Spring Training was to wait for pitches and wait out certain situations and not go out of the zone for pitches when men are in scoring position," Lovullo said. "In the case of drawing three big walks to score three big runs, I think that speaks volumes to how disciplined these guys are."
MOMENTS THAT MATTERED Double-D flashes the leather: Descalso produced a run with his homer in the second inning, and the second baseman prevented one on defense in the fourth. After Kiké Hernandez drew a two-out walk and moved to second on a wild pitch, Logan Forsythe laced a line drive that seemed destined for right field and an RBI. It left the bat at 100 mph and had a 79 percent hit probability before Descalso dove to his left and snared it for the third out.
"That's my job," Descalso said. "Whenever I do get a chance to play, my job is to go out there and play like whoever else has been starting. My job is not to skip a beat and go out there and do things at the plate and make plays on defense."
First one a big one: When he strolled to the plate to face Kershaw in the third inning, Peralta was 0-for-8 in his career against the left-hander. After taking a slider for a ball, Peralta turned on a Kershaw slider and knocked it over the wall in right to give the D-backs a 2-1 lead.
It was a big night for Peralta, who had his parents and sister in town visiting from Venezuela, and he blew them a kiss in the stands after his homer.
QUOTABLE "On a night where everybody was tired and cranky, we slowed down enough to execute and win the game." -- Lovullo
SOUND SMART WITH YOUR FRIENDS D-backs left-handed hitters smacked two home runs, just the fourth time in Kershaw's career he's allowed two home runs to lefties in a single game, and the first time it's been done by two players. The other times Kershaw allowed two homers in a game to lefties came on Aug. 6, 2010 (Adam Dunn twice), May 2, 2012 (Carlos Gonzalez twice) and Sept. 8, 2013 (Jay Bruce twice).
WHAT'S NEXT Patrick Corbin will toe the rubber Wednesday vs. the Dodgers as the D-backs finish their homestand before traveling to St. Louis. Corbin was effective on Opening Day against the Rockies, giving up just two runs on seven hits over 5 2/3 innings. The Dodgers will counter with lefty Alex Wood, who pitched a one-hitter over eight scoreless innings in his season debut against the Giants. First pitch is scheduled for 12:40 p.m. MST.