Fire crews were called to a blaze burning in vacant lot in the 600 block of 11th Street around 1:50 p.m. on Monday.
The fire damaged a neighboring home and a utility company building.
Numerous surveillance cameras in the area captured the trio running from the location of the fire.
Anyone with information was asked to contact Detective Robert D’Andrea at (310) 458-2201 ext. 6679; Sergeant Henry Ramirez at (310) 458-8453; or the Santa Monica Police Department (24 hours) at (310) 458-8495.