The fire happened last Thursday at a six-unit complex still under construction on the 12300 block of Gorham Avenue, near the Brentwood Country Club.
The fire destroyed four of the units and seriously damaged some nearby homes. Thirty-five people had to be evacuated, and as many as 10 families were displaced.
Arson investigators say the fire was deliberately set. Anyone with information related to the incident should contact the Los Angeles Fire Department Arson and Counter-Terrorism Section at (213) 893-9800.