The Los Angeles County Sheriff's Department said 65-year-old Louis Robert Piatt of Pacific Palisades was still missing as of Friday evening.
Around 3:00 p.m. Thursday, Piatt called 911 saying he was off the Malibu coastline near the pier and was having chest pains.
Authorities found an overturned kayak and a life vest about two miles off shore.
Piatt's car was still parked at a nearby parking lot.
Piatt is described as a white male, 5 feet nine inches tall, weighing 170 pounds, balding with brown eyes.
Anyone with information about Piatt's whereabouts should contact the Los Angeles County Sheriff's Department at (323) 267-4800 .