It was the Galaxy's first victory since Beckham joined his new team.
The inaugural SuperLiga involves four Major League Soccer teams and four from the Mexican first division in a round-robin tournament.
Beckham was again missing with an ankle injury and his absence gave the club a reminder of life pre-Beckham. There were plenty of empty seats in the 27,000-seat stadium and a lack of camera flashes. The announced attendance was 19,317.
The Galaxy winner came in the 81st minute when a Donovan converted a Cobi Jones pass.
The Galaxy's next SuperLiga game is against Chivas Guadalajara on Saturday, when Pachuca will visit Dallas.
Putin said that NATO increased its military personnel by 10,000 people in the areas where NATO troops should not even be in accordance with key documents
The choice of the city of Helsinki is not incidental as the capital of Finland had hosted US-Soviet negotiations on the limitation of nuclear stockpiles in 1969