Reports indicate that the official quick count from Mexico's electoral authority has projected climate scientist Claudia Sheinbaum as the winner of Sunday’s presidential election with between 58.3 and 60.7 percent of the vote, making her country’s first female president.

Sheinbaum promised she would not let Mexico down after being elected its first woman president.

"I won’t fail you,” she told supporters.

It put her nearest rival, Xóchitl Gálvez Ruiz, who leads a coalition of largely conservative parties, on 26.6-28.8 percent.

The official result will be announced on June 8.

Gálvez, the opposition candidate announced conceding defeat.

"A few minutes ago, I contacted ... Sheinbaum to acknowledge the election result. I told her that I saw a Mexico with a lot of pain and violence and that I hope she can resolve the serious problems of our people,” Gálvez was quoted as saying by local media.

The governing Morena party candidate campaigned on continuing the political course set over the last six years by her political mentor President Andrés Manuel López Obrador. The latter’s successor, the 61-year-old Sheinbaum reportedly led the campaign wire-to-wire despite a spirited challenge from Gálvez.

It was the first time in Mexico that the two main opponents were women.

Presidential candidate Xochitl Galvez casts her ballots at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)

Claudia Sheinbaum, presidential candidate for Morena Party, arrives at a polling station in San Andres Totoltepec, in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Muzi)

Presidential candidate Xochitl Galvez (C) speaks after casting her ballots at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)

Claudia Sheinbaum, presidential candidate for Morena Party, displays her voter card at a polling station in Mexico City, Mexico on June 2, 2024. (Photo by Francisco Canedo/Xinhua)

Claudia Sheinbaum, presidential candidate for Morena Party, casts her ballots at a polling station in San Andres Totoltepec, in Mexico City, Mexico, on June 2, 2024. (Photo by Francisco Canedo/Xinhua)

Claudia Sheinbaum, presidential candidate for Morena Party, shows her ink-marked thumb after voting at a polling station in San Andres Totoltepec, in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Muzi)

Claudia Sheinbaum, presidential candidate for Morena Party, is hugged by a voter as she arrives at a polling station in San Andres Totoltepec, in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Muzi)

Presidential candidate Xochitl Galvez casts her ballots at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)

Presidential candidate Xochitl Galvez shows her ink-marked thumb after voting at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)

Presidential candidate Xochitl Galvez casts her ballots at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)

Presidential candidate Xochitl Galvez prepares to vote at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)

Presidential candidate Xochitl Galvez shows her voter card and ink-marked thumb after voting at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)

Claudia Sheinbaum, presidential candidate for Morena Party, casts her ballots at a polling station in San Andres Totoltepec, in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Muzi)

Claudia Sheinbaum (C), presidential candidate for Morena Party, speaks after casting her ballots at a polling station in San Andres Totoltepec, in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Muzi)

A voter casts his ballot at a polling station in Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Mengxin)

Voters wait to cast their ballots at a polling station in Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Photo by Francisco Canedo/Xinhua)

A voter casts his ballot at a polling station in Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Muzi)

A voter casts his ballot at a polling station in Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Mengxin)

A voter waits to cast his ballot at a polling station in Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Muzi)

A voter casts her ballot at a polling station in Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Mengxin)

A voter casts her ballot at a polling station in San Andres Totoltepec, Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Muzi)

Voters wait to cast their ballots at a polling station in Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Mengxin)

Voters wait to cast their ballots at a polling station in Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Mengxin)

Staff members make preparation at a polling station in San Andres Totoltepec, Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Muzi)

A voter casts her ballot at a polling station in San Andres Totoltepec, Mexico City, Mexico, June 2, 2024. Sunday's general elections are considered the largest in Mexico's modern history, with the presidency, legislative seats, governorships and local government positions up for grabs. (Xinhua/Li Muzi)

People vote at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)

People vote at a polling Station in Mexico City, Mexico, on June 2, 2024. (Xinhua/Li Mengxin)