The nearest major airport is Moorea Airport (MOZ / NTTM). This airport has domestic flights from Teavaro, French Polynesia and is about 68 km from the center of Mataiva, French Polynesia.
Another major airport is Faa'a International Airport (PPT / NTAA), which has international and domestic flights from Papeete, French Polynesia and is 71 km from Mataiva, French Polynesia.
Travelmath helps you find the closest airport to any city, as well as a list of smaller local airports. You can use these pages to plan your trip and figure out the easiest way to get to your destination. Many times there are multiple airports near the city you want to visit, so you can often find a cheaper flight into a different airport. This is especially useful if you are getting a rental car, since it might be better to drive a bit farther in order to save money on airfare. If you're booking an international flight, you probably want the closest major airport, otherwise if you're a pilot you may be looking for a local airport. Use this tool along with the flight distance pages to plan your travel.