The two had been hospitalized in Jakarta, Widodo told reporters at the presidential palace in the capital.
The president said a 64-year-old woman and her 31-year-old daughter had tested positive after being in contact with a Japanese national who lived in Malaysia and had tested positive after returning from a trip to Indonesia.
Widodo said an Indonesian medical team had traced the movements of the Japanese visitor before uncovering the cases.
“After checks, they were in a sick state. This morning I got a report that the mother and the daughter tested positive for coronavirus,” said Widodo, who said they were being treated at Jakarta’s Sulianti Saroso infectious diseases hospital.
Health Minister Terawan Agus Putranto told reporters the Japanese visitor was a friend of the two women’s family and had visited their house. He said authorities were checking who else the Japanese visitor may have come into contact with.
The confirmation of the first cases of coronavirus came after authorities had defended their screening processes, with some medical experts raising concerns of a lack of vigilance and a risk of undetected cases in the Southeast Asian country of more than 260 million people.