Police were called to the incident at Downend Road, near the 24/7 Gym, just after 1pm yesterday (January 24).
One driver suffered a suspected broken ankle, while the other reported having neck pain.
A spokesman for Hampshire police told The News: ‘We were called out at 1.03pm yesterday afternoon (24 Jan) following reports of a two-vehicle collision on Downend Road in Fareham.
‘The driver of the Honda suffered a suspected broken ankle and taken to hospital, while the other driver was taken to hospital as a precaution due to neck pain.
‘No arrests have been made.’
Downend Road was closed in both directions as a result of the collision causing some delays. It was reopened later in the afternoon.