A former army Captain, the 63-year-old Bolsonaro won the presidential election by a wide margin against Fernando Haddad of the left-wing Workers' Party on October 28, 2018, the BBC reported.
"Congratulations to President @jairbolsonaro who just made a great inauguration speech", the USA president tweeted.
The pair were surrounded by dozens of guards on horseback and plain-clothes bodyguards who ran alongside them.
He promised to combat the "ideology of gender" teaching in schools, "respect our Judeo-Christian tradition" and "prepare children for the job market, not political militancy".
Among them was Lorena Abdaba, 32, a professor who travelled three hours by bus from her native state of Espirito Santo to attend the inauguration.
But amid a backdrop of economic crisis, rising violence and corruption scandals that stained all of Brazil's main political parties, Bolsonaro cultivated an image as the outsider candidate and swept to victory in an election fuelled by anti-establishment sentiment. His sons, politicians themselves, had insisted their father could be targeted by radicals, but security officials have not spoken of threats.
Netanyahu is the first Israeli prime minister to visit Brazil.
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As a clear sign of that diplomatic shift, Bolsonaro plans to move the Brazilian embassy in Israel from Tel Aviv to Jerusalem, breaking with Brazil's traditional support for a two-state solution to the Palestinian issue.
Bolsonaro is now hosting world leaders ahead of his inauguration, which will be held this week. More than 63,000 people were killed past year.
Many of his stances have also caused alarm in his detractors, who fear an increase in violence - particularly by police.
Israeli Prime Minister Benjamin Netanyahu said Monday he would not resign if indicted on corruption charges, as police continue to investigate several cases involving him ahead of April polls. Leftist president such as Nicolas Maduro of Venezuela, Daniel Ortega of Nicaragua and Miguel Diaz-Canel of Cuba - who Bolsonaro has deemed dictators - were not invited.
Pompeo "reiterated the United States' commitment to Israel's security and unconditional right to self-defence".
During the visit, Volodin will hold a meeting with Speaker of Brazil's Chamber of Deputies (lower house of parliament) Rodrigo Maia. He has been a member of several political parties but is now in the Social Liberal Party (PSL).
Netanyahu said Bolsonaro told him that it's a matter of "when, not if" he will move the embassy.