It happened Sunday around 6:40 p.m. near the intersection of Wilshire Boulevard and Chelsea Avenue.
Police said the victim, described only as a Santa Monica resident and Vietnam War veteran, was crossing Wilshire heading southbound when she was struck by a vehicle heading eastbound.
The driver, who was in a white Toyota Rav4, took off, according to witnesses.
The woman was pronounced dead at the scene.
Anyone with information is urged to contact Investigator Raleigh at Evan.Raleigh@santamonica.gov or Investigator Lewis at Lantz.Lewis@santamonica.gov.
You can also call the Santa Monica Police Department's non-emergency dispatch line at 310-458-8491 or the Watch Commander at 310-458-8427.