Garrett Mitchell and Jake Bauers homered while Kyle Harrison delivered six strong innings to lead the Milwaukee Brewers to a 6-0 win over the visiting St. Louis Cardinals on Tuesday.

Harrison (5-1) allowed four hits over six innings, walking none and striking two. He earned a fifth win in his past six starts and his made third straight scoreless start, running his shutout streak to 18 innings.

Acquired in a February trade with Boston, Harrison owns a 1.57 ERA through his first 10 starts with the Brewers. That's the best mark after a starter's first 10 outings in franchise history, surpassing CC Sabathia's 1.59 ERA in 2008.

Grant Anderson, Abner Uribe and Trevor Megill finished with a scoreless inning apiece to cap off Milwaukee's fourth shutout win of the season, two of which have come in the past week.

Christian Yelich went 3-for-5 and William Contreras and Bauers each had two hits for the Brewers, who have won the first two games of the three-game series.

Bryan Torres collected two of the Cardinals' seven hits, but St. Louis didn't have an extra-base hit. The Cardinals finished 0-for-5 with runners in scoring position, stranding seven runners while losing for the fifth time in six games.

St. Louis starter Michael McGreevy navigated three scoreless innings before Bauers led off the fourth with his eighth homer.

The Brewers blew the game open in the fifth inning with a five-run explosion. After Yelich doubled, Jackson Chourio and Brice Turang walked to load the bases. Contreras brought home Yelich and Chourio with a double to right-center that chased McGreevy.

After Ryan Fernandez struck out the first batter he faced, Mitchell smashed a 421-foot homer, his third, to center, doubling the Brewers' lead to 6-0.

McGreevy (3-4) allowed five runs on seven hits over four-plus innings. He walked three and struck out six, taking his second straight loss.

The Cardinals' best chance to get back into the game came in the eighth inning, when Ivan Herrera drew a two-out walk and Jordan Walker followed with a infield single. Uribe struck out Alec Burleson looking, a call that was held up after an ABS challenge, to end the threat.