Khaltmaa Battulga of the opposition Democratic Party (DP), a 54-year-old former world champion in the Soviet martial art Sambo, had 50.6 per cent of the vote with 986 ballots outstanding, according to the General Election Commission.
Parliament speaker Mieygombo Enkhbold of the Mongolian People's Party (MPP), which holds the majority in the legislature, had lagged well-behind the wrestler since early this morning.
Recognising he was down for the count, he thanked his supporters in a concession speech broadcast on Facebook, saying that he would "respect and accept the presidential results."
"We did this thanks to power of people," Battulga told supporters in Ulan Bator's Independence Square, promising that he would "push the government in order to complete all their work."
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The new president will inherit a USD 5.5 billion International Monetary Fund-led bailout designed to stabilise its economy and lessen its dependence on China, which purchases 80 per cent of Mongolian exports.
It has been hit hard by a more than 50 percent fall in the price of copper, its main export, over the past five years, while slowing growth in its biggest customer China has hobbled the economy.
Earlier in the day, Battulga, who ran on a populist, anti-China platform, told a press conference "Mongolia has won."
"I will start work straight away to resolve the economic difficulties and make Mongolians debt free as I promised," he said.