However the Lowy Institute poll also found their trust in other countries is declining.
Ninety-three per cent of the more than 3,000 Australian adults surveyed in April say Australia has handled the crisis "very well" or "fairly well" so far.
Only a third say China has handled the outbreak very or fairly well, with 60 per cent saying China has handled the outbreak badly.
Author of the study and Lowy Institute research fellow Natasha Kassam says trust in both China and the US has been on the downfall over the past few years and the current pandemic has only exposed that.