"Chris's contribution is not limited to these organisations - he made a wide-ranging and significant contribution to New Zealand,'' Mr Key said.
NZC Chief Executive Justin Vaughan said the thoughts of all who knew and worked with Chris were with his family at this sad time.
On behalf of the family of cricket I would like to offer our heartfelt condolences to the family and friends of Chris Doig.
It was an honour and a privilege to have known Chris. He was a great servant of New Zealand Cricket and an insightful and astute administrator.
He will be fondly remembered for his contributions not only to cricket but his service to other sports, the arts and the community.
NZRU chairman Mike Eagle also paid tribute to Doig.
"On behalf of the family of Chris Doig, it is with the deepest sympathy that I confirm that Chris passed away peacefully in Christchurch today, in the presence of his loving family.'
"Chris' contribution to New Zealand through sport, art and entertainment is immense. This is a very sad day for us all. On behalf of the NZRU and the New Zealand rugby community, I extend our heartfelt love and thoughts for Chris' wife Suzanne, and their family."
Doig also worked closely with SPARC, Creative New Zealand and New Zealand Rowing.
He was made a Companion of the New Zealand Order of Merit in the Queen's Birthday Honours earlier this year for services to the arts and sport, after previously receiving an Officer of the Order of the British Empire.