Rescuers used a rubber surfboard leash to stop the bleeding as they waited for emergency responders to arrive, The AP reported.
The woman was flown to an area hospital. Her condition has not been released.
>> Related: 17-year-old surfer dies after shark attack not far from shore
There had been several shark sightings in the area recently. Shark experts believe it was caused by either a great white or a seven-gill shark, The AP reported.