Blair has pledged to make Africa a priority
And he said that if the world as a community focused on it, it could be healed but if not "it will become deeper and angrier".
In his speech to the annual Labour party conference, Mr Blair called on the international community to back a partnership for Africa, between the developed and developing world based around the New African Initiative.
"This would offer greater investment, aid and debt relief for Africa," he said.
"But it's a deal: On the African side: true democracy, no more excuses for dictatorship, abuses of human rights; no tolerance of bad governance, from the endemic corruption of some states, to the activities of Mr Mugabe's henchmen in Zimbabwe. Proper commercial, legal and financial systems."
In a speech which correspondents described as ambitious, Mr Blair spoke of a "moral duty" to provide international military and humanitarian action in countries anywhere.
"If the world continues to ignore the sufferings of African nations, like in the war- ravaged Democratic Republic of Congo, it would breed anger and frustration which would threaten global stability," he said.
No walking away
Mr Blair also mentioned the world's inaction during the 1994 genocide in which nearly around 800,000 Tutsis and moderate Hutus were massacred by Hutu extremists.
And he promised: "If Rwanda happens again we would not walk away as the outside world has done many times before."
Declassified documents obtained by a US non-governmental agency had showed that the United States knew in advance that the 1994 Rwandan genocide was likely to happen but nevertheless insisted that United Nations peacekeepers should be withdrawn.
Following his government's intervention in Sierra Leone's civil war, Mr Blair indicated that he would be ready to use British troops to implement future peace plans.
During last May's British election campaign, Mr Blair promised that he wanted to make Africa a key priority during his second term in office.
He followed that up with a meeting last month with some African leaders to discuss his proposed partnership with the continent.