A police spokeswoman said it was called to Hillside Rd at 1.30pm.
Fire crews, police and St John attended the incident.
Traffic control was put in place, she said.
A Fire and Emergency New Zealand spokesman said two appliances from Lookout Pt and St Kilda attended.
A St John spokesman said one person was taken to Dunedin Hospital with moderate injuries.
A photographer at the scene said it looked like the car had crashed into a phone box and the pole.