Melbourne father Paul Browitt has died in hospital, a month after he and his family were caught in the New Zealand volcano eruption which also claimed his daughter's life.

Mr Browitt died at The Alfred hospital on Sunday night, more than a month after the December 9 eruption that killed his daughter Krystal and left his older daughter Stephanie with severe burns.

Stephanie, 23, remains at The Alfred in a stable condition with her mother Marie by her side.

The Browitt family were on what was supposed to be the trip of a lifetime when the White Island volcano erupted.