Officials say the body was found around 1:30 a.m. in an area away from construction activity. The body was later identified as 60-year-old Vincent Martinez of Downey.
"This is a tragic loss and tragedy for our employee's family and our entire LADWP family," said Aram Benyamin, Senior Assistant General Manager, Power. "Our hearts go out to the family, friends and co-workers of our employee."
The station is being partially rebuilt to eliminate the use of ocean water to cool the plant.
The cause of death is under investigation.