Shuel Ali Hussain, 33, was found shot in the stomach in Markham Avenue in Harehills at about 21:00 GMT on Monday. He later died in hospital.
Mohammed Nadeem Ahmed, 42, of Airlie Avenue, Harehills, is to appear at Leeds Magistrates' Court later.
Det Supt Simon Atkinson said he was appealing for witnesses to the murder.
Yakub Miah, 41, who has been charged with three offences including assisting an offender is also to appear later at Leeds Magistrates' Court.
Four men have been charged with conspiracy to murder and were remanded in custody until Tuesday when they will appear before Leeds Crown Court.
Masum Ahmed, 19, of Airlie Avenue, Rajak Miah, 20, and a 17-year-old, from Harehills - who cannot be named because of his age - have been charged with conspiracy to murder.
A 16-year-old from Chapeltown, who must also remain nameless, is charged with the same offence and possession of ammunition.
Police said Mr Hussain, from Harehills, was shot in his silver Vauxhall Astra on Pasture Road, before he managed to make his way to a supermarket on nearby Markham Avenue.
A post-mortem examination showed he died as a result of a single gunshot wound to the abdomen.
