"Though the Chief Minister's eldest son B.Y.Vijayendra, who also stays with him in the official residence, tested negative, he has been advised to be in isolation at home," said the official.
In a tweet, Vijayendra said as a precaution, he will be in home quarantine for a week.
"My father (Yediyurappa) is doing fine and under the observation of doctors who said there is no need to worry," tweeted Vijayendra.
According to the hospital's health bulletin, Yediyurappa is doing well and is clinically stable.
"Yediyurappa has been admitted to our hospital on Sunday night for observation. He is clinically stable and is monitored by a team of doctors," said the bulletin.
The hospital has allowed Yediyurappa and his daughter to have food from home.
"Both (father and daughter) are asymptomatic. They tested positive due to mild symptoms of the disease," added the official.
The Chief Minister's other family members and relatives who have been in contact with him were also advised to go into quarantine.
The Chief Minister's official and personal staff, including cook, servants, and drivers has been advised to be in isolation for a week.