RNZ reports the Hercules C130 plane had taken off from the city of Timika before crashing near its destination of Wamena.
Indonesia's Search and Rescue Agency says the crash site on Lisuwa mountain was been found and the bodies of the victims were being brought back to Wamena.
Indonesia has a patchy air safety record and President Joko Widodo promised a review of the country's ageing air force fleet last year after a military transport plane crashed, killing more than 100 people.
