A Northamptonshire Police spokesman said: "A man was hit by a black Ford KA travelling north on Broad Street, towards the Barrack Road.
"Sadly the pedestrian was declared dead at the scene.
"Anyone who witnessed this incident or who has information about it is asked to call the Drivewatch Hotline on 0800 174615 quoting incident number 21000640627."
A 26-year-old Kettering man arrested on suspicion of causing death by dangerous driving has been released under investigation.
Wednesday's incident happened just few hundred yards from the spot where a 39-year-old woman and her unborn child died in May.
Dulce Lina Mendes Pereira, aged 39, left behind four children aged between one and 21.
The victim, who was six months pregnant, was taken to University Hospital, Coventry, following a collision with a Nissan Pathfinder at the junction of Greyfriars and Horsemarket on the A508 in the town centre. Attempts to save her and her unborn child were sadly unsuccessful.