Air New Zealand doesn't allow Australian Airpoints members to combine Airpoints Dollars from multiple accounts, but does allow eligible members to 'gift' Airpoints Dollars to other people by adding them to their Gifting Register.\
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For members based in New Zealand only, AirNZ also provides a 'Shairpoints' feature whereby up to four family members can combine their Airpoints Dollars to redeem a reward, but this is not available in Australia.