Witnesses told authorities that Sunday at around 12:35 p.m. the filmmaker left his parked Toyota Prius on the Vincent Thomas Bridge, scaled a fence and then leapt without hesitation. A note with contact information was left in the vehicle, says the newspaper.
Los Angeles Port police pulled his body from the water four hours later. A suicide note was recovered in his office, reports the Times. Its contents have not been disclosed.
The British-born Scott, the younger brother of director-producer Ridley Scott (Alien, Gladiator), lived in Beverly Hills. He had twin sons with his third wife, actress-model Donna Wilson.
Family spokesman Simon Halls confirmed Scott's death and said the family requests "that their privacy be respected at this time."
Ridley and Tony Scott ran Scott Free Productions, whose TV shows include The Good Wife. Tony Scott frequently worked with Denzel Washington, on Crimson Tide, Man on Fire, Deja Vu and The Taking of Pelham 123. Most recently they collaborated on Unstoppable.
Scott recently finished shooting the drama Out of the Furnace, starring Christian Bale.
In a Tweet Sunday, director Ron Howard wrote, "No more Tony Scott movies. Tragic day."