Authorities responded to the Best Buy store in the 11300 block of West Pico Boulevard just before 3:30 a.m. after a business alarm had been set off.
The burglars fled with a U-Haul van full of electronic goods, leading police on a chase to Venice.
Once in Venice, the burglars fled on foot, sparking a search in the area of Milwood and Electric avenues, police said. Residents in the search zone were being advised to stay indoors.
Police have taken one suspect into custody, but two suspects remain outstanding.
Anyone with information is urged to call the LAPD West L.A. Station at (310) 444-0701.
City News Service contributed to this report.