Submissions to the Geographic Board closed at midnight on 5 July.
People were asked if the islands' current English names should be made official or whether both should have Maori names - for instance, Te Ika a Maui for the North Island and Te Waipounamu for the South.
Board secretary Wendy Shaw says by Friday more than 1000 people had provided feedback.
The board has until the end of the month to consider the submissions. The final decision on the names rests with the Minister of Land Information.