A spokesman said police responded to the crash at the intersection of Howe and Great King St at 11.49am.
Fire and Emergency New Zealand and Hato Hone St John were also in attendance.
Both lanes were blocked at the time of the crash, but one lane was reopened shortly after.
A St John spokesman said it sent one ambulance crew who assessed and treated one person at the scene.
They were transported to Dunedin Hospital with minor injuries.