Police are still looking for the woman responsible.
The incident started when a man and woman were involved in what police called a "fender bender" at 17th and Broadway around 6:30 p.m. Thursday.
They stopped briefly and exchanged words but then the woman took off in her car - and the man gave chase in his.
They stopped again at 18th and Figueroa and again engaged in a confrontation.
At some point, the male driver ended up on the hood of the woman's car as she drove away. She made a sudden left turn, throwing him off the hood and into the street.
The man was severely injured and was pronounced dead at the hospital at 8:25 p.m.
The deceased victim's name has not been released but he is described as a man in his 20s from the Los Angeles area.
The woman fled the scene and police are continuing to look for her. She was driving a 2013 silver Kia Optima.
The man's vehicle, a black sports car, appeared to have scrapes and dents along the driver's side door from the initial collision but no other substantial damage.