The win was the sixth in a row for the Dodgers, who were without injured rookie sensation Yasiel Puig but scored three runs in the second and three more in the ninth to put the game away.
Puig was held out of the game after leaving Monday's contest with an apparent minor strain of his right knee.
Ricky Nolasco (12-9) won his sixth decision in seven starts for Los Angeles. Nolasco allowed two runs on five hits and struck out five in six innings. Chris Withrow came on in the ninth for his first save.
Jhoulys Chacin (13-8) took the loss for the Rockies, who have lost three of their last four games. Chacin allowed four runs on nine hits in seven innings and also drove in a run.