EDF energy are investigating the cause of the fire which broke out at Hinkley Point C yesterday morning.
Devon and Somerset Fire and Rescue Service attended the nuclear plant after one of the galleries used to run pipes and cables around the station caught alight.
Shortly after 9.30am, pictures of the smoke cloud were uploaded to Facebook by people living in Burnham-on-Sea.
A spokesman for EDF said Hinkley Point’s internal fire crew extinguished the blaze and there were no casualties.
He said the incident was now being investigated and EDF energy will ensure “lessons are learned” from the event.