Los Angeles scored in the 39th minute when Diego Rossi pounced on a loose ball in the middle of the area and buried it into the right side.
LAFC went down a man in the second minute of first-half stoppage time when Dejan Jakovic was shown straight red for a reckless challenge. United’s Frederic Brillant had a header hit the left post in the third minute of second-half stoppage time.
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Los Angeles (6-3-2) has one loss in its last eight games, and D.C. (2-5-2) has one win in its last 11 road games.