Los Angeles County fire officials responded to the business about 3:30 a.m. in the 3600 block of Abbott Road, near Martin Luther King Jr. Boulevard.
Arson investigators and the L.A. County Sheriff's Department said the incident was being investigated as a possible arson fire.
An investigation continued into initial reports that indicated a Molotov cocktail was likely thrown into the business.
Video from the scene showed broken glass and damage inside the salon.