The result lifted Keane's team into the final play-off spot in the Western Conference.
The Galaxy, without midfielder David Beckham through suspension and with forward Landon Donovan starting on the bench due to a hip injury, headed into the sell-out encounter at Toyota Park on the back of two straight losses and were facing a team unbeaten in four games.
But things soon looked up for the visitors as Keane converted a 22nd-minute penalty following handball by Jalil Anibaba, and then substitute Donovan supplied the pass for the Republic of Ireland captain to put the result beyond doubt 12 minutes from time.
The New York Red Bulls passed up the chance to move top of the Eastern Conference standings as they went down 2-0 to New England at Gillette Stadium. Lee Nguyen and debutant Jerry Bengtson were the men on target for the Revolution.
Two goals in three first-half minutes from Gabriel Gomez and Freddy Adu set the Philadelphia Union on their way to a 3-0 win over Toronto FC, substitute Antoine Hoppenot adding a third in the 78th minute in a battle between the Eastern Conference's bottom two teams.
Finally, the Montreal Impact netted twice in the final 13 minutes to snap their three-game losing streak, coming from behind to beat the Columbus Crew 2-1. Milovan Mirosevic had headed the visitors in front in the 64th minute at Stade Saputo, but Zarek Valentin equalised in the 78th minute and then Patrice Bernier's 89th-minute penalty completed the turnaround.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.