A red Triumph and white Volkswagen Crafter van were involved in the collision on the A32 Wickham Road between Droxford and Wickham just after midday.
The 64-year-old male Triumph driver was taken to Queen Alexandra Hospital following the crash.
Police cleared the road to make the scene safe before carrying out investigations.
A spokesman for South Central Ambulance Service said: ‘The driver of the (Triumph) car involved a 64-year-old male.
‘(He was) taken to the hospital for further assessment on his chest pain which occurred when his chest hit the steering wheel as a result of the collision with a van. The two occupants of the van were uninjured.’
A police spokeswoman said: ‘We were called at 12.19pm on Wednesday to a report of a two vehicle collision on Wickham Road.
‘A red Triumph and a white Volkswagen Crafter van were involved in the collision. Both drivers reported minor injuries.
‘The road was cleared by 1.43pm. The incident is currently under investigation.’