The motorcyclist, a woman in her 50s, and the driver of a Fiat Doblo crashed at traffic lights at the junction in The Avenue, Fareham at about 13:00 BST.
She was pronounced dead at the scene. The woman driving the Fiat was not seriously injured.
The eastbound carriageway was closed for several hours with drivers urged to follow diversions. The westbound carriageway remained open.
A motorcyclist has died in a crash with a car in Hampshire.