Moore was at his home in Auckland when he died early on Sunday morning, his wife Yvonne said.
Moore suffered a stroke in 2015 when he was New Zealand's ambassador in Washington DC and had been in declining health in recent years.
Mrs Moore said her husband had numerous health issues since his stroke.
"Mike was born in Whakatane but grew up in Kawakawa and Moerewa in the Far North and wanted to spend his final months in the place that gave him his drive, spirit and courage," she said.
"Mike wanted to be in Northland one last time so he spent much of summer in Matauri Bay and only came back to Auckland in recent weeks because of his health.
"Northland made him the battler and fighter for ordinary Kiwis he was throughout his life and career and that was what drove him to become a member of the New Zealand Labour Party at 16-years-old. He was stubborn, optimistic, generous and kind."
POLITICAL LIFE
First elected to the Auckland seat of Eden in 1972, Moore was New Zealand’s youngest MP, aged 23. He held the seat for one term and was defeated in the Rob Muldoon landslide victory in 1975. Soon after, he had the first of his three bouts of cancer.
In 1978, he was elected to the Christchurch seat of Papanui, defeating National Cabinet Minister Bert Walker. He held that seat, which later became Christchurch North and Waimakariri, until his retirement from Parliament in 1999.
In the fourth Labour Government from 1984 to 1990, Mike Moore held the portfolios of Overseas Trade & Marketing, Tourism, Sport & Recreation, America’s Cup, External Relations & Trade, Deputy Finance, and Foreign Affairs.
He was the 11th Leader of the New Zealand Labour Party and became the Prime Minister for 59 days before the October 1990 general election.
Following Labour's defeat in that election, Moore served as Leader of the Opposition until the 1993 election, after which Helen Clark successfully challenged him for the Labour leadership.
Mike Moore was a member of the "fish and chip brigade" made famous in a photograph by NZ Herald photographer Geoff Dale of Labour plotters Roger Douglas, Mike Moore, Michael Bassett and David Lange, who brought down leader Bill Rowling in 1983.
"Having left school at 15 for a job in the freezing works, Mike always believed that his love of reading and hard work would overcome his lack of formal education.
"Mike was always a good reminder to the Labour Party of its working class roots and will probably be its last blue collar Prime Minister.
"Mike was a passionate believer in the power of government to advance people through the collective provision of health and education and how that was the ladder up for ordinary working men and women and their families."
Mrs Moore said that in keeping with Labour's traditions he was a committed internationalist.
"As Trade Minister he helped give New Zealand a confident outward view of itself in the world. He also came to believe in the power of a rules based global trading system and how that, more than international aid, could lift nations out of poverty. He was a great humanist and a passionate free trader.
Her husband loved Parliament, she said.
"He enjoyed being a representative Parliamentarian, doing electorate clinics at the weekends, and during the week debating issues and legislation in the House. It was in the debating chamber that he felt at home most because he knew his humour, quick wit and well-read knowledge would set him apart from many others."
In recent years one of his greatest fears was that he'd die before seeing another Labour Government.
"He was elated when Jacinda Ardern became Prime Minister and thinks she's extraordinarily gifted and has the potential to achieve more for New Zealand and on the international stage than any other Labour leader."
Prime Minister Jacinda Ardern sent her condolence to Moore's family, saying she'd seen him as recently as Friday.
"I feel incredibly lucky to have seen Mike only on Friday. He never lost his interest and passion for politics, because he saw it as such an important vehicle for change," she said in a statement.
"While Mike made his mark is many ways, one of his enduring legacies to New Zealand is the work he did opening up world trade and gaining access for New Zealand exporters to new markets. That was a legacy he also left for the world.
"Through both his lead role in the GATT trade round and in his tenure as Director General of the World Trade Organisation, he dedicated his life to the service of New Zealand.
"A member of The Order of New Zealand and former Ambassador to the United States, Mike was passionate about our country and ensuring it's place in the modern world.
"The world lost a man with a huge intellect, and huge heart today. E te rangatira, moe mai, moe mai, moe mai ra."
Deputy Prime Minister and Foreign Minister Winston Peters today described Moore as “one of the great New Zealanders”.
“Mike spent every day of his life trying to make things better for New Zealand and New Zealanders.
From the time he was elected to Parliament at the age of 23, to his final year on this earth, he was constantly thinking about how to advance New Zealand’s interests.
“Mike will be very sorely missed by everyone who knew him. He was a warm, passionate, funny, mischievous man, and my condolences go out to his wife Yvonne and the rest of his family."
Former prime minister Helen Clark, who was Moore's deputy, said he was a "passionate New Zealander" who spent his life serving New Zealand and its values.
Former Labour finance minister, and friend of Moore's, Michael Cullen told the NZ Herald that the former prime minister needed to be remembered as the "gifted and engaging politician that he was".
"He saw himself as the last true working-class Labour leader and could have been an inspiring prime minister with just a few more votes in the 1993 election."
But Cullen said Moore's later years were marked by an "inability to let grudges go. This led him to isolate himself from many former friends and colleagues unnecessarily."
WTO AND US POSTS
Following his retirement from New Zealand politics, Moore was the World Trade Organisation’s third Director General - the highest international role ever held by a New Zealander - from 1999 to 2002 and oversaw China’s entry into the global rules based trading system. He also launched the Doha Development Round in 2002.
He was appointed New Zealand Ambassador to the United States in 2010 and played a significant role in the Trans-Pacific Partnership trade agreement and enhancing the relationship between the two countries.
Mr Moore’s “School Aid” charity, which is run through his old school Dilworth in Auckland and was created in 2009, has distributed hundreds of thousands of dollars in development aid to schools in Africa.
In 1999 he was awarded the Order of New Zealand, the nation’s highest honour, and in 2012 was awarded the Order of Australia (honorary officer). He also had five honorary doctorates in commerce, economics and law.
- NZ Herald, RNZ and ODT Online
