Mexican climate scientist and former Mexico City mayor Claudia Sheinbaum celebrated her victory in Sunday's presidential elections as the candidate of the "Let's Keep Making History" coalition.

Sheinbaum delivered an acceptance speech in the wee hours of Monday morning after the National Electoral Institute issued the results of its quick count. Preliminary results showed that she won with between 58.3 percent and 60.7 percent of the votes.

Sheinbaum, aged 61, will become Mexico's first woman president in its more than 200 years of independence.

"I want to thank millions of Mexican women and men who decided to vote for us on this historic day," Sheinbaum said in the victory speech to a cheering crowd. "I won't fail you."

Opposition candidate Xochitl Galvez garnered between 26.6 percent and 28.6 percent of the votes, and conceded defeat to her ruling party rival, Sheinbaum on Monday.

The only male candidate, Jorge Alvarez Maynez, who represents the Citizens' Movement party, had between 9.9 percent and 10.8 percent of the votes.

In her victory speech, Sheinbaum also thanked the outgoing president, Andres Manuel Lopez Obrador as "a unique person who has transformed our country for the better." 

Sheinbaum has promised to continue many of Lopez Obrador's policies, including a universal pension for the elderly and a program that pays youths to apprentice.

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(With input from agencies)