Cameron Marshall Ward was struck by a blue Vauxhall Vectra on Court Lane in Erdington shortly after 21:10 BST on Easter Monday, 1 April, last year.
Wayne Payne was found guilty of causing death by dangerous driving.
The 31-year-old, of Somerset Road, Erdington, was sentenced at Birmingham Crown Court earlier.
A driver who killed a five-year-old boy when he hit him with his car in Birmingham has been jailed for five years.