Nick Rimando saved a penalty kick in the 92nd minute and Real Salt Lake tied the Galaxy, 0-0, on Wednesday night.
Rimando dove to his left to get a hand on Juninho's penalty kick to earn his fourth shutout of the season.
The penalty kick was awarded after Omar Gonzalez was pulled down in the penalty area on a free kick.
The Galaxy (3-2-5) extended its undefeated streak to five games, including three consecutive ties.
The Galaxy had the best scoring chance in the first half, but Gyasi Zardes pushed an open header wide in the first minute of stoppage time.
Alan Gordon's header was pushed by Rimando over the crossbar in the 66th minute.
Real Salt Lake (2-2-5) had its third scoreless draw of the season.