António Guterres’s request came in a statement congratulating the people and Government for the vote, which was held on Sunday. Malians initially went to the polls in late July to choose a new leader.
Incumbent Ibrahim Boubacar Keita, who is seeking a second term, faced more than 20 opponents, including main opposition leader, Soumaila Cisse.
The run-off election was called as none of the candidates secured the required 50 per cent of votes. The final results are not expected for a few days.
The UN chief welcomed measures that allowed voting to occur safely in most of the vast country, amid difficult weather and security challenges in some areas.
“The Secretary-General appeals to all parties to remain calm through the conclusion of the electoral process, and to continue to address any grievances in accordance with the laws and constitution of Mali,” according to the statement, which was issued on Monday evening by his Spokesman.
“He calls on all political leaders to continue to promote a peaceful atmosphere and avoid incendiary rhetoric.”