Consular assistance is being provided to the family of Trevor Kjeldal, a DFAT spokesperson said on Saturday.
Mr Kjeldal was "a very treasured and loved member" of his family.
"Our depth of sadness at his loss is unfathomable," the family said in a statement.
"We would like to thank DFAT for their ongoing assistance in bringing him home to us.
"At this incredibly sad time, we would request that the media respect our privacy as we grieve."
DFAT expressed its deepest condolences to the family and said it was unable to provide further comment.
Prime Minister Anthony Albanese also passed on his condolences to Mr Kjeldal's family and friends on Saturday.
"This is tragic news. I remind people that the DFAT advice is that people do not travel to Ukraine," he said during a press conference in Queensland.
"It is a dangerous place, but my heart goes out to the family and friends of the gentleman involved."
Consular assistance can include support and guidance to families and liaison with local and Australian authorities to assist with funeral arrangements or repatriation of remains.
The Australian Government's advice for Ukraine remains at do not travel.
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