Revered Bollywood actor Amitabh Bachchan's daughter-in-law and granddaughter have joined him and his son in testing positive for COVID-19, the family said on Sunday, in one of the highest-profile cases of the pandemic sweeping India.

From hospital with his father in Mumbai, Amitabh Bachchan's son Abhishek said his wife and former Miss World Aishwarya Rai Bachchan and their 8-year-old daughter had also been infected by the new coronavirus.

"Aishwarya and Aaradhya have also tested COVID-19 positive. They will be self quarantining at home," he tweeted, saying other family members had tested negative and thanking Indians for their wishes and prayers.