The 75 year old and 98 year old both had underlying health conditions.
It takes the total number of people with coronavirus to have died in the UK to 180.
The Chief Medical Officer for Wales, Dr Frank Atherton, said: “It is with sadness I report that a further two people who tested positive for COVID-19 have died. This takes the number of deaths in Wales to five.
“I offer my sincere condolences to their families and friends, and ask that their privacy is respected at this sad time.
“The patients were a 75 year old who died at Singleton Hospital, and a 98 year old who died at Ysbyty Gwynedd. Both patients had underlying health conditions.”