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In California, all cars must pass smog checks every 2 years once it reaches a certain age. During the first few years, you don't need to do any smog check. This is independent of being a hybrid or regular car.
From the DMV website:
Currently, smog inspections are required for all vehicles except diesel powered vehicles 1997 year model and older or with a Gross Vehicle Weight (GVWR) of more than 14,000 lbs, electric, natural gas powered vehicles over 14,000 lbs, motorcycles, trailers, or gasoline powered vehicles 1975 and older.
Vehicles registered in areas subject to the biennial smog certification program are required to submit evidence of a smog certification every other renewal period. Owners of vehicles six or less model years old will pay an annual smog abatement fee for the first six registration years instead of being required to provide a biennial smog certification. The registration renewal notice mailed to you by the department will indicate if a smog certification is required. If a smog certification is required and you have not had a smog inspection, you may still pay your registration fees to avoid any late fees. However, you will not receive your new registration or year sticker until the smog information has been received by DMV.
