Both teams traded goals in the first half, and neither could find a winner in the second period.
Chivas opened the scoring when Martin Rivero found Erick Torres inside the box. The striker took a touch to his right, and fired home across his body into the far post.
The Galaxy nearly tied it up a few minutes later, but Dan Kennedy produced a heroic double save, including touching a Landon Donovan curler onto the post.
LA did tie the match in the 34th minute. Marcelo Sarvas curled in a cross to the back post, and Gyasi Zardes was on hand to head past a diving Kennedy.