CINCINNATI -- Brandon Phillips hit a two-run homer, and Johnny Cueto pitched eight solid innings, lifting the Cincinnati Reds to a 4-2 victory over the Milwaukee Brewers on Tuesday night at Great American Ball Park.

Cincinnati homered three times off Brewers starter Kyle Lohse, including solo shots by first baseman Joey Votto and left fielder Marlon Byrd.

Cueto (2-2) allowed only three hits, but two were solo homers by third baseman Aramis Ramirez and right fielder Ryan Braun. It wasn't enough offense for Milwaukee, which fell to 1-5 this season against the Reds, 4-17 overall.

Cueto struck out six and did not walk a batter while defeating Milwaukee for the second time in six days.

Lohse (1-4) allowed four runs -- all on home runs -- and seven hits in seven innings, lowering his ERA to 7.28 through five starts. He has allowed eight home runs this season.

Cincinnati had an opportunity to pad its lead in the eighth when Milwaukee right hander Michael Blazek issued two walks. However, Phillips lined into a 6-4 double play to end the inning. Reds closer Aroldis Chapman made it a moot point, retiring the side in order in the ninth for his fifth save.

Votto lined a 1-1 pitch from Lohse into the right-center-field stands in the first inning to put the Reds ahead 1-0. It was Votto's seventh homer of the season.

The Reds (10-10) provided Cueto with some breathing room with back-to-back homers off Lohse in the fourth.

Phillips crushed a 1-0 pitch 412 feet to center field for a two-run homer. It was the second baseman's first home run this season. Byrd followed with his second home run as a Red to make the score 4-0. Byrd's blast was the eighth home run allowed this season by Lohse.

Ramirez abruptly ended Cueto's no-hit bid with a 431-foot solo homer into the left field bleachers on the first pitch of the fifth inning.

NOTES: Reds RHP Michael Lorenzen will make his major league debut in Wednesday's series finale against the Brewers. Lorenzen, 23, is taking RHP Homer Bailey's spot in the rotation after Bailey was placed on the disabled list with a right elbow ligament sprain. A corresponding roster move will be made prior to the game. ... Reds RHP Mike Leake's scheduled start Wednesday was pushed back to Thursday in Atlanta. ... Brewers RF Ryan Braun returned to the lineup following a two-day absence. ... Milwaukee OF Khris Davis, mired in a 4-for-28 slump, was out of the lineup.