The rookie tossed 8 1/3 scoreless innings in his maiden outing against Kansas City last week, but topped that second time around as he struck out two and did not walk a batter in his 102-pitch gem.
Albers was backed by a pair of homers: a lead-off solo shot from Brian Dozier in the first and Trevor Plouffe's two-run effort in the second.
Yu Darvish took a no-hitter into the eighth inning to lead the Texas Rangers to a 2-1 win over the Houston Astros.
A walk issued to Jonathan Villar in the sixth was the only blemish on Darvish's record until Carlos Corporan cracked a solo homer to right with one out in the eighth.
Despite missing out on the no-no, Darvish struck out 15 in eight innings of one-run ball, getting all the support he needed in the first inning courtesy of Adrian Beltre's RBI double and a single from AJ Pierzynski, who was later ejected after arguing the Villar walk.
Mat Latos hurled eight shutout frames and Brandon Phillips homered as the Cincinnati Reds saw off the Chicago Cubs 2-0.
Latos scattered six hits as he struck out nine and did not walk a batter, earning the win on the back of Phillips' two-run shot in the seventh.
Hiroki Kuroda blanked the Los Angeles Angels in eight stellar frames to lift the New York Yankees to a 2-1 win.
Kuroda fanned seven as he allowed three hits and a walk, while Curtis Granderson led the Yankees offence with two hits including a solo shot in the seventh.
Charlie Manuel celebrated his 1,000th win as manager as the Philadelphia Phillies beat the Atlanta Braves 5-1.
Cole Hamels hurled a complete game, fanning nine and surrendering one run on six hits and a walk, while Cody Asche belted a three-run homer.
Chris Sale also pitched a complete game - his fourth of the season - in the Chicago White Sox's 6-2 win over the Detroit Tigers.
Dexter Fowler drove in four in the Colorado Rockies' 14-2 win over the San Diego Padres, while Adam Eaton launched a walk-off homer to lead off the ninth in the Arizona Diamondbacks' 7-6 victory over the Baltimore Orioles.
The Oakland Athletics were 5-1 winners over the Toronto Blue Jays, the Kansas City Royals beat the Miami Marlins 6-2 and the Los Angeles Dodgers rallied for a 4-2 victory over the New York Mets.