Police and ambulance crews were called to the North Esplanade at 11.55am following the collision outside The Royal Clarence Hotel.
A female pedestrian suffered multiple injuries in the incident as she tried to cross the road.
“A 45 year-old lady was taken to Musgrove Park Hospital in Taunton with leg and shoulder injuries,” police spokesman Scott McPherson told Burnham-On-Sea.com.
“We are appealing for witnesses to contact us on 101 if they saw the collision at 11.55am, which involved a Honda Jazz.”
The road was closed for over an hour to allow the police’s investigation into the incident to begin.