"All precautions are taken at nuclear plant Kalpakkam to face Vardah. So far all is well and plant operation is normal.
The plant is in touch with the India Meteorological Department," the National Disaster Management Authority said in a statement.
Kalpakkam is in Kancheepuram, which along with Chennai, Tiruvallur and Villupuram in northern Tamil Nadu, has been pounded by heavy rainfall and high velocity winds.
The Nuclear power Corporation of India-run power plant has two operational units which produces 440 MW power while another plant of 500 MW is undergoing construction.
The wind speed of cyclone Vardah reached 110-120 kmph as the landfall process began.
People are advised to remain in safe places and cooperate with state government officials and disaster management agencies, the NDMA said.
As many as 19 team of National Disaster Response Force (one team comprises of 35 personnel) have been deployed in coastal areas of Tamil Nadu and Andhra Pradesh to deal with any situation arising out of the cyclone's landfall.
Fishermen are advised not to venture into sea along and off south Andhra Pradesh, north Tamil Nadu and Puducherry coasts during next two days.
So far 7,354 people from Tamil Nadu living in areas of possible landfall have been shifted to safer places and kept in 54 relief centres.