The New Zealand Defence Force said agriculture tool kits, family hygiene kits, collapsible water containers, tarpaulins, generators and chainsaw packs were all on board.
Air Commodore Kevin McEvoy said he hoped the supplies would provide basic power, water and sanitation for people.
He said there was also equipment to clear fallen trees.
Most of Tonga remained without power and running water in the wake of Gita.
Derek Leonard owns and runs a coffee plantation in Veitongo - a small rural village in the middle of Tongatapu.