Lewis said the 76-year-old driver had a green light.
The 73-year-old victim, a transient known in the area, died at the scene, Lewis said.
The suspect vehicle was described as a charcoal gray 2009-2011 model Camry with front-end damage. At least part of the passenger-side mirror was found near the point of impact, Lewis said.
Police received a phone call from a family member who believed their relative was involved in the crash, Lewis said.
Police questioned the Los Angeles man, whose name has not been released.
Lewis said the man, who apparently has medical issues, has cooperated with the investigation.
Lewis said damage to his vehicle was consistent with the damage witnesses described at the scene.
Police took a statement from the man but he was not arrested, Lewis said. Police have received a copy of the driver’s re-examination from the DMV as part of the continuing investigation.
The victim’s name was not released pending notification of his next of kin, Lewis said.
Anyone with additional information is asked to contact Santa Monica police Investigator Chris Dawson at 310-458-8954 or Sgt. Jeff Wiles at 310-458-8950.