Ethier slugged a two-run homer off reliever Marco Estrada in the fifth inning, his second of the spring and 10th extra-base hit. It broke a 3-3 tie.
The Dodgers scored three runs in the first inning off Milwaukee starter Chris Narveson. Gordon tripled and scored on Ellis' single. Matt Kemp singled, Ellis scored on Ethier's fielder's choice grounder and Kemp was doubled home by James Loney.
Milwaukee answered with a pair of runs in the second inning on a two-out, two-run homer by Brooks Conrad and tied the game off Dodgers starter Chad Billingsley with a two-out rally in the third inning on the first of two doubles by Nyjer Morgan and an RBI single by Carlos Gomez.
The Dodgers broke the tie on Ethier's homer and added a pair of runs in the sixth on Ellis' two-run double.
The Brewers fought back to within a run with a two-run sixth. Kentrail Davis delivered an RBI single and Caleb Gindodi added an RBI double to right-center field. The damage could have been worse, but Dodgers pitcher Ramon Troncoso limited it with a key double play off the bat of Martin Maldonado.
Angel Guzman pitched a 1-2-3 ninth inning to seal the victory for the Dodgers.
Up next: Ted Lilly starts Wednesday for the Dodgers against the Padres and Tim Stauffer. Following Lilly will be relievers Todd Coffey and Kenley Jansen, as well as non-roster relievers Jamey Wright and John Grabow, who are among a group battling for the last bullpen spot on the roster. The Dodgers will be off Thursday.
Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.