Police are unsure if the man, identified as a Hispanic man in his 60s, was struck and killed by a passing car or if he was murdered. The victim suffered severe head trauma.
Authorities are hoping the public will be able to help them solve this case.
"Fairfax and Venice - it's a very busy thoroughfare, both going north into Hollywood, as well as people traveling southbound toward the freeway," said LAPD Det. Frank Carrillo.
Police are not releasing the victim's name pending notification of next of kin.
Anyone with information is urged to call (213) 473-0476.