Corey Seager homered for the Dodgers, who banged out 15 hits, including five for extra bases, and showed some offensive life after being held to three runs while losing the first two games of the series.
The Dodgers scored twice in each of the first two innings.
Justin Turner doubled home two runs in the first, a 31-pitch slog for Tyler Anderson (1-1).
Seager hit a two-run homer with two outs in the second on Anderson's first pitch after a walk to Logan Forsythe.
Charlie Blackmon cut the Dodgers' lead in half with a two-run homer in the third. But Forsythe's two-out single in the fourth scored Enrique Hernandez, who led off with a walk, to make it 5-2.
But the Dodgers made it 6-4 in the sixth when Austin Barnes tripled as right fielder Carlos Gonzalez battled the sun and wind gusts and was unable to make the catch. Pinch-hitter Andrew Toles grounded a run-scoring single off drawn-in second baseman Alexi Amarista.
The Dodgers tacked on three runs in the seventh on catcher Tony Wolters' pick-off throw to third base that hit Turner in the back -- the Rockies' first error of the season -- and consecutive run-scoring singles by Adrian Gonzalez and Barnes.
Anderson pitched five innings and gave up five runs, five hits and a career-high four walks with three strikeouts, throwing just 54 of 95 pitches for strikes.
Dodgers starter Kenta Maeda (1-1) also worked five innings, yielding four runs, five hits and one walk with five strikeouts.
NOTES: Rockies LHP Chris Rusin (right oblique strain) allowed one run in two innings after being activated from the 10-day disabled list. RHP German Marquez was optioned to Triple-A Albuquerque. ... Rockies 2B Alexi Amarista made his first start of the season and went 0-for-3 after pinch-hitting twice in the first six games. He started in place of 2B DJ LeMahieu, who was 2-for-23 but entered the game on a double switch in the seventh. LeMahieu went 2-for-2 with a run-scoring triple. ... Dodgers 2B Logan Forsythe's double leading off the game ended a string of 13 consecutive hitless at-bats. ... Dodgers RHP Pedro Baez (right wrist contusion) will join the team Tuesday in Chicago or make a third rehab appearance for Triple-A Oklahoma City. ... Dodgers LHP Rich Hill (left middle finger blister) returned to Los Angeles to continue his recovery after going on the disabled list Thursday with a tentative return of April 16 against Arizona.