"He was hugely respected in both business and rugby and will be missed. Our thoughts are with his wife Claire and their family."
NZR Chief Executive Mark Robinson says Tonks' was immense in his work.
"He served as Deputy Chair on the Wellington Rugby Football Union Board for more than a decade, held various positions at New Zealand Rugby for a similar period and went onto Chair the International Rugby Board. His record speaks for itself and he left the game in a better place than he found it."
Tonks took over the helm of NZR as the game was turning professional. He made the questionable call to appoint Sir John Hart as co-coach ahead of the 1991 Rugby World Cup.
He also served as Deputy Chair of Wellington RFU from 1977 until 1989.
Tonks is survived by his wife Claire, children Murray and Carolyn, three grandchildren and three great-grandchildren.