Alan Langdon had made previous threats about fleeing with his 6-year-old daughter Que, the child's mother says.
Langdon and Que have been missing since they left Kawhia Harbour in Waikato on a small catamaran on December 17.
Ariane Wyler spoke to Radio New Zealand (RNZ) from Switzerland, and said she believed the pair were headed to Australia.
Wyler said Langdon had threatened in the past to disappear with their daughter and she would never see them again.
"Australia is very large and people do disappear, and I totally believe he is capable of doing that."