Martin and Jane Weekes will make one final family journey to New Zealand next week.
The Weekes, who lost their triplets in a shopping mall fire in Doha, are bringing the bodies of Lillie, Jackson and Willsher home for a funeral.
Thousands are expected to attend a memorial service at St Paul's Cathedral in Wellington at 1pm on Friday.
This will be followed by a private burial.
A family spokesman said: "Martin and Jane have been overwhelmed by the support from people that they have never met, as well as friends and family.