Former Portuguese prime minister Antonio Guterres is to take over, ending Ban's decade as United Nations Secretary General.
In his final news conference as UN chief, Ban says: "Aleppo is now a synonym for hell."
People still inside eastern Aleppo are reporting the killing of hundreds of civilians by advancing Syrian regime forces backed by Russia and Iran.
The former prime minister of Portugal was the UN high commissioner for refugees from 2005 to 2015. In his inaugural speech, he reaffirmed the importance of conflict resolution and called for an end to the war in Syria.
Staffan de Mistura also plans to hold meetings with US President-elect Donald Trump's transition team.
The cholera epidemic has killed at least 9,300 people since 2010, when UN peacekeepers sent in the aftermath of Haiti's devastating earthquake dumped infected sewage into a river.
These protests were held on the United Nation's International Day for the Elimination of Violence against Women.
National police fires live ammunition on a crowd demonstrating over the slow pace of aid.
The country is the latest African nation to announce it will break ties with the International Criminal Court.
The decision comes amid concerns that the global court targets only African people.
Guterres, Prime Minister of Portugal until 2002, and UN High Commissioner for Refugees until 2015 will hold his new position for five years starting from January 1.
A report released by the UN show earthquakes and the tsunamis they trigger were the biggest killers over the past two decades.
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