He has been doing tours for the past 15 years and knew the risks, his family have said.
All those killed in the eruption have now been named by New Zealand authorities, except for an Australian man who died on Saturday and whose family requested that his details not be released.
He had been transferred to Sydney's Concord Hospital, where he died.
As well as the identities of those two people still on the island, police have also officially confirmed the deaths of Barbara Hollander, 49, and Richard "Rick" Elzer, 32.
The trio were passengers on the Ovation of the Seas cruise ship and had been on the cruise with six other friends who had chosen not to go on the White Island tour that day.
Barbara Hollander, listed as a US citizen but who is an Australian permanent resident, is the mother of teenage brothers Berend "Ben" Hollander, 16, and Matthew Hollander, 13.
Matthew is the youngest person to have been killed in the eruption.
The boys' father and Barbara's husband, Martin Hollander, was yesterday confirmed as among the dead also.
Authorities are continuing to assess exactly when they can go back to Whakaari in a bid to return the two outstanding victims to their respective families.
Recovery efforts were hampered early this morning due to bad weather conditions in the area.