Dutton said after he woke this morning with a fever and sore throat he took a test for Covid-19.
The Queensland Department of Health advised him of the positive test result this afternoon.
He said in a statement he was "feeling fine".
As the number of coronavirus cases in Australia nears 200, authorities have announced a range of significant measures to combat the outbreak.
Prime Minister Scott Morrison has said all non-essential gatherings of more than 500 people should not go ahead from Monday to limit the spread of the coronavirus.
He said it doesn't include schools, university lectures or people getting on public transport.
However, Morrison said he would still attend the season-opening game of his beloved Cronulla Sharks rugby league team in Sydney on Saturday night. The NRL match between the Canberra Raiders and Gold Coast Titans is also going ahead on Friday night.
Mr Morrison also said every Australian should urgently reconsider their need to travel internationally – regardless of the destination.
A total 195 cases of coronavirus have now been confirmed across Australia, with 92 in New South Wales, 36 in Victoria, 35 in Queensland, 12 in South Australia, 14 in Western Australia, four in Tasmania, one in the Northern Territory and one in the ACT.
Three people, aged 95, 82 and 78, have died.
