"He's going to sweep out all the corrupt politicians, the crooks, the communists", said supporter Alvaro Cardoso, 55, at the polling station where Bolsonaro cast his ballot, wearing a black T-shirt with the candidate's name and a skull.
Bolsonaro, 63, has spoken highly of Israel during his campaign and said at one point that his first global trip as president would be to the Middle Eastern country.
His son, Eduardo Bolsonaro, considered one of the most influential voices in his father's campaign, told Bloomberg in August that Brazil should sever ties with Venezuela's socialist government and distance itself from Iran, which supports multiple terror groups, while getting closer with Israel.
Delivered in a stern tone, the speech also featured more divisive moments.
"We can not continue flirting with communism".
Bolsonaro's win alarmed critics around the globe, mainly because of his vows to sweep away leftist political opponents and his history of making insulting comments about gays, women and minorities.
Bolsonaro, who was stabbed and seriously wounded last month by a would-be assassin - has styled himself as an outsider despite a 27-year career in Congress and used his campaign to channel popular anger over corruption, an ailing economy and rising crime rates. "For the first time I feel represented", said Andre Luiz Lobo, 38, a businessman who - not incidentally, given accusations of racism against his candidate - is black.
Thousands of Bolsonaro supporters cheered and set off fireworks outside his home in Rio de Janeiro's beachfront Barra de Tijuca neighborhood as his victory was announced.
Feelings on the other side were equally strong.
Brazil's top electoral court said Bolsonaro won with just over 55 percent of the vote, compared with just under 45 percent for Haddad.
More than a dozen U.S. Democratic congressmen have written a letter urging Secretary of State Mike Pompeo to make clear that American aid to and co-operation with Brazil "is contingent on the upholding of basic human rights and democratic values by its leaders".
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Bolsonaro has said his government would be a "defender of democracy and the constitution".
Political analysts and activists reacted in grim tones. "Congratulations on the victory in Brazil", said Argentina's conservative president Mauricio Macri.
Bolsonaro has repeatedly said he would pull Brazil from the Paris agreement on climate change, though last week he backed off on that.
How Bolsonaro and Haddad performed in Brazil's cities. "But he is our way to keep the Workers' Party out of office", said Rafaela Rosa, a 32-year-old teacher, after voting Sunday in Sao Paulo. But his extreme messages were rendered more palatable by a flawless storm in Brazil: widespread anger at the political class after years of corruption, an economy that has struggled to recover from a punishing recession and a surge in violence.
Lacking his mentor's charisma, Haddad struggled to unite opposition to Bolsonaro, despite mounting fears over what the former army officer's presidency would bring.
A staunchly anti-gay right-wing politician is slated to become the next president of the largest and most populous nation in Latin America.
In Sao Paulo, the economic capital, Marcos Kotait, 40, a publicist, said he had "never seen such a polarized election".