Authorities say the incident happened around 10:25 p.m. Thursday near the Four Seasons hotel at Doheny Drive and 3rd Street.
Police say the victim, Anand Shah, was jaywalking when a vehicle slammed into him. He was declared dead at the scene.
The suspect's vehicle was described as a gray, hardtop, four-door Jeep Wrangler.
Police say they are checking surveillance cameras in the area.
Anyone with information was asked to contact Los Angeles detectives at (213) 473-0222.