Current UN chief Antonio Guterres hailed him as "a guiding force for good" and Russian President Vladimir Putin described a "remarkable person". "He rose through the ranks to lead the organization into the new millennium with matchless dignity and determination", he said in a statement.
Canadian Prime Minister Justin Trudeau said Annan "dedicated his life" creating a more just and peaceful world, and that "the world is a better place because of him".
It is Annan, Odinga said "pushed the world to see the importance of human rights to peace, security, humanitarian affairs, economic and social development", more than any other UN Secretary General.
Ghana's national flag is to fly at half-mast across the country and in all Ghana's diplomatic missions in the world from Monday, President Nana Akufo-Addo has directed.
Kofi Annan has a diplomat's way of being economical with what he reveals, and a politician's knack of self-serving storytelling.
Annan was born in the Ashanti heartland two decades before Ghana became the first country in sub-Saharan Africa to gain independence from colonial rule.
Akufo-Addo added that the "highly respected former" United Nations chief was "an ardent believer in the capacity of the Ghanaian to chart his or her own course onto the path of progress and prosperity".
Kofi Annan was a son of Ghana and felt a special responsibility towards Africa.
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Mr Annan spent two terms as the head of the world diplomacy body, stepping down in 2006. He resigned later that year, frustrated over the lack of progress in ending the violence.
Queen Elizabeth II receives the Secretary General of the United Nations, Kofi Annan, at Buckingham Palace in 2004.
Annan had also worked for mobilizing the worldwide community in the battle against HIV/AIDS and against the global terrorist threat, Al-Qaeda.
He headed his own foundation and was chair of The Elders, which had been founded by Nelson Mandela. Throughout his life, Kofi worked unceasingly to improve the lives of millions of people around the world.
The IOM said: "Today we mourn the loss of a great man, a leader and a visionary: Former UN Secretary General Kofi Annan".
"His warmth should never be mistaken for weakness". In this transfer of responsibility, operations in the former Yugoslavia were turned over to North Atlantic Treaty Organisation.
Speaking shortly before his departure from Windhoek where he attended the 38th ordinary summit of the Southern African Development Community (SADC), Ramaphosa said Annan's death was a great shock and loss to the global community. He was awarded this prize for revitalizing the United Nations and for giving priority to human rights.
Kofi was the epitome of human decency and grace.