The fire broke out shortly before 2 p.m. Monday in the 600 block of 11th Street near Montana Avenue in a vacant lot between two homes.
Investigators say several surveillance cameras captured the three suspects in an alley running from where the fire started. A residence and property owned by a utility company were damaged in the blaze.
Police released an image of the two females and one male that they're looking for.
The male suspect was described as white or possibly Hispanic. He was photographed wearing black rimmed glasses, a white baseball hat and carrying a red and yellow skateboard. The two female suspects were also described as white or possibly Hispanic, in their late teens with medium builds and brown and dark brown hair.
If you have any information about this case, you're urged to contact the Santa Monica Police Department at (310) 458-8495.