California Ocean Protection Act of 1993 - Establishes a California Ocean Protection Zone consisting of: (1) the waters of the Exclusive Economic Zone that are contiguous to territorial sea waters that are contiguous to California; and (2) that portion of the Outer Continental Shelf underlying the waters. Bars Federal agencies from issuing leases or permits for: (1) oil, gas, or mineral exploration, development, or production in the Zone; and (2) ocean incineration or harmful ocean dumping or for any onshore facility that facilitates incineration or dumping within the Zone. Prohibits exploration, development, or production activities after an existing lease or permit terminates or becomes inactive or operations associated with such activities under regulations implementing the Outer Continental Shelf Lands Act are suspended.