The incident happened when the man fell through a hatch on the ship that gave way, while he was carrying out engineering work.
His partner and children were receiving victim support, said Mr Hazlett.
"Our thoughts are with the families and workmates and we are going to do everything we can to support them.''
He was not aware of any previous similar incident.
Vessel Capt M.J Souza is part of Talley's deep sea fleet and is used to fish tuna, according to Talley's website.
The vessel is based in the Western and Central Pacific for most of the year but during the summer months it returns New Zealand.