The epicentre of the quake was the town of Rig and hospitals in nearby cities and provinces were on alert, with rescue teams and 50 ambulances sent to the area, a regional official told state TV.
Electricity and landline telephone and internet in Gonaveh city had been cut off "and people are taking to the streets for fear of earthquakes", semi-official news agency Tasnim reported.
The quake was centred 100 km (60 miles) away from the plant and was relatively shallow - only 10 km deep according to Iranian media - which would have amplified the shaking.
Iranian media reported six aftershocks and posted pictures that showed collapsed mud brick walls in some villages.
Crisscrossed by major fault lines, the Islamic Republic is one of the most earthquake-prone countries in the world. In 2003, a magnitude 6.6 quake in Kerman province killed 31,000 people and flattened the ancient city of Bam.