Los Angeles (6-2-2) is 2-0-2 at Banc of California Stadium and hasn't lost since a 5-0 defeat at Atlanta United on April 7.
David Villa and Ishmael Tajouri-Shradi each scored for New York City (6-2-3), which is 0-2-2 in its last four road games while being outscored 11-4 in that span.
New York City had two quality chances to come away with the win. Los Angeles goalkeeper Tyler Miller blocked Jesus Medina's shot with his face in the 77th minute, and Tyler Zimmerman deflected Jo Inge Berget's shot just wide in the 81st.