Russell's homer -- his second -- came on a 2-0 pitch off Brewers closer Neftali Feliz and brought home pinch-runner Carl Edwards Jr. from third and Kris Bryant from second.
Cubs reliever Wade Davis (2-0) pitched one inning to get the win. Feliz (0-2) took the loss.
Travis Shaw and Jett Bandy each added home runs to Milwaukee's major-league-leading total (29), but it wasn't enough as the Brewers couldn't hold a late-inning lead.
Cardinals 2, Pirates 1
ST. LOUIS -- Dexter Fowler broke out of an early-season skid with two solo homers as St. Louis swept Pittsburgh at Busch Stadium.
Fowler, who fanned in the first inning to fall to 8-for-57 with 17 strikeouts, worked a 2-0 count against Gerrit Cole in the third and then lined his first homer for St. Louis into its bullpen in right-center field. Two innings later, Fowler ambushed a first-pitch fastball and lined it inside the right-field foul pole for the fourth multi-homer game of his career. It was his first since June 2, 2013, when he was playing for the Colorado Rockies.
Michael Wacha (2-1) and three relievers made the lead stand. Wacha gave up one run and four hits in 6 2/3 innings, walking two and fanning three.
Mariners 10, Marlins 5
SEATTLE -- Mitch Haniger had three hits, a walk and four RBIs to lead Seattle past Miami.
Kyle Seager nearly matched his teammate, driving in four runs on two hits.
Miami outfielders Christian Yelich and Giancarlo Stanton each hit long home runs off Mariners starter Felix Hernandez (2-1), who gave up 12 hits and four runs while striking out five and walking one in 6 1/3 innings.
Athletics 9, Rangers 1
OAKLAND, Calif. -- Jesse Hahn delivered a premium start, breezing through six innings and allowing two hits with four strikeouts and four walks.
Khris Davis of the A's slugged his seventh home run, a two-run blast to right on the first pitch he saw from struggling reliever Mike Hauschild in the fifth. Davis moved into a tie for the major league lead for homers with George Springer of Houston and Erik Thames of Milwaukee.
Hahn (1-1) did not allow a hit until Mike Napoli's single to left with one out in the fourth.
Nationals 14, Braves 4
ATLANTA -- Bryce Harper smashed a grand slam in the second inning after a solo homer in the first off Julio Teheran and finished 4-for-4 with an intentional walk as Washington beat Atlanta.
Harper, who is batting .404 with six homers and 18 RBIs, has driven in 17 runs against Teheran while going 15-for-33 against the right-hander.
Ryan Zimmerman made it a rout with a grand slam off reliever Ian Krol in a five-run eighth. It was the first time the Nationals hit two slams in a game since Josh Willingham did it in 2009 at Milwaukee.
Freddie Freeman hit his sixth homer of the season in the third inning to set the Atlanta record of reaching base in 12 consecutive plate appearances.
Astros 5, Angels 1
HOUSTON -- Josh Reddick finished a single shy of the cycle and scored three runs and Dallas Keuchel allowed one run in pitched seven strong innings as Houston defeated Los Angeles.
In the seventh inning, Reddick blasted a 1-2 pitch from Mike Morin into the front row in right field for a two-run homer. It was Reddick's first home run since joining the Astros. Reddick tripled in the first inning, doubled in the sixth and struck out swinging in his only other at-bat, finishing 3-for-4.
The lone run surrendered by Keuchel came off an RBI single from Yunel Escobar in the third inning.
Rays 8, Tigers 7
ST. PETERSBURG, Fla. -- Tampa Bay blew a four-run lead and then rallied to win in the bottom of the ninth inning, getting two runs on a two-out throwing error to beat Detroit at Tropicana Field.
The Rays trailed 7-5 after six innings but rallied for a run in the seventh and then got to closer Francisco Rodriguez in the ninth.
Rookie reliever Austin Pruitt (1-0) threw 3 1/3 innings of scoreless one-hit relief, striking out five, to earn his first major league win.
Royals 2, Giants 0
KANSAS CITY, Mo. -- Jason Vargas outdueled Madison Bumgarner as Kansas City beat San Francisco.
Vargas (3-0) struck out nine, one shy of his career high, walked none and allowed four hits in seven innings. He was removed after 92 pitches, 61 of them strikes.
Bumgarner (0-3), who went 2-0 plus a five-inning save in Game 7 of the 2014 World Series against the Royals, allowed one run and seven hits while walking one and striking out four in six innings.
Blue Jays 3, Red Sox 0
TORONTO -- Toronto snapped a two-game winless streak, ending Boston's four-game winning run.
The Jays took an early 3-0 lead in the second inning when Darwin Barney singled up the middle, driving in Troy Tulowitzki and Russell Martin. Both reached base on back-to-back throwing errors by Pablo Sandoval and Mitch Moreland.
Ezequiel Carrera drove in Barney from second after he advanced to second on a single by Kevin Pillar.
Yankees 9, White Sox 1
NEW YORK -- Aaron Judge hit another mammoth home run when he clubbed a 448-foot blast with two outs in the fifth inning as New York concluded its first homestand with a rout of Chicago.
Judge hit four home runs as the Yankees won eight of nine games.
With the Yankees already leading 7-1, Judge got hold of a 2-0 curveball from Dylan Covey. He hit a high-arching shot into the upper rows of the left-field bleachers near the flagpole.
Mets 5, Phillies 4
NEW YORK -- Jay Bruce continued his resurgence as he accounted for his team's entire offense by hitting two homers -- a three-run shot in the sixth and a tiebreaking two-run blast in the eighth -- to lift New York past Philadelphia.
The win snapped a four-game losing streak for the Mets, who scored just 10 runs during the skid.
The Mets trailed 2-0 with two outs in the sixth before Asdrubal Cabrera singled and Yoenis Cespedes worked a walk to set up Bruce's three-run homer to right off Phillies starter Vince Velasquez.
Orioles 2, Reds 0
CINCINNATI -- Ubaldo Jimenez pitched 7 2/3 innings and Jonathan Schoop's RBI single and a sacrifice fly by Manny Machado provided all the offense, lifting Baltimore over Cincinnati.
Jimenez (1-0) allowed two hits with four walks and three strikeouts.
The Orioles handed Jimenez an early lead after Welington Castillo doubled and scored on Schoop's single in the second. Baltimore led 2-0 after Machado's sacrifice fly in the fifth.