Officers today appealed for information after the crash on Cemetery Road in Yeadon.
At around 10.30am on Thursday, March 29, a red Renault Clio which had just reversed out of a parking place, drove forward and struck another parked car at a low speed.
The 51-year-old driver was taken to Leeds General Infirmary but died.
It is suspected that he had suffered a medical episode at the wheel, police said.
Any witnesses to the crash or the events leading to it are asked to call the non-emergency number, 101.