"This is the goal we set ourselves at the start of the season," said Beckham. "It is another special occasion to win a championship at home, in front of our fans and our families."
LA had to come from behind after Calen Carr put Houston ahead a minute before the break, breaking free down the Galaxy left and blasting in a near post shot, but the home side took control in the second half.
Defender Omar Gonzalez headed in the equaliser on the hour from a Juninho cross before Landon Donovan converted a penalty five minutes later to give the Galaxy the lead, after Ricardo Clark was ruled to have handled.
Robbie Keane, who had two efforts disallowed, got his reward in injury time when Houston 'keeper Tally Hall tried to bring him down and the Irishman rose to slot home the penalty.
Restaurant plans London: Beckham is all set to open a restaurant here with chef Gordon Ramsay. The 37-year-old said that he is very excited to be venturing into a new business, reported Contactmusic.
"We've got something in the pipeline. We are obviously good friends and we are excited about a project that could happen pretty soon," he said.