Cyclone Yaas, which intensified into a "very severe cyclonic storm", hit the states of West Bengal and Orissa - also known as Odisha. This is the second cyclone to hit the country in a week after Cyclone Tauktae killed more than 150 people.
It comes as India is already struggling to deal with its Covid-19 outbreak.
Yaas lashed coastal areas with ferocious wind and rain as it made landfall in India, damaging homes and bringing waves that swamped towns. More than one million people were evacuated in the country as the storm approached.