"One thing you should be confident about is that your new bond to New Zealand should not reduce the importance of your heritage - the culture and traditions you brought with you.
"Like the many colourful threads in a carpet, your being in New Zealand strengthens and enriches the fabric of New Zealand's society, both now and in the future."
He said there would be many opportunities for education and careers for the interpreters and their families.
Sir Jerry said New Zealand's achievements in Afghanistan "would never have been made, or would have taken much longer, if it was not for the people here today".
"In Bamiyan it was the local people, and especially the interpreters, who we turned to to assist us.
"As events have proved, the interpreters, the 'terps', became close personal friends and endured the same hardships as out people.
"We are indebted to them and it was appropriate that the New Zealand Government agreed to their request to be resettled here."