The Independent National Electoral Commission (INEC) had declared Buhari as the winner of the last Saturday’s presidential election.
However, the Peoples Democratic Party (PDP) presidential candidate, Atiku Abubakar, had rejected the results of the election, vowing to contest it in court.
In a statement on Thursday, the council’s deputy director for legal, Mamman Yusufari, congratulated Buhari on his victory.
“We congratulate President Muhammadu Buhari for winning the 2019 presidential election and thanks Nigerians for their overwhelming support,” the council said.
“We commend the presidential candidates, political parties and their support groups for their general respect for the law in the campaign activities.
“The council also commends INEC for conducting the presidential and National Assembly elections in substantial compliance with the law.
“We on our part condemn few cases of violence in some parts of the country and calls on the appropriate authorities to deal with the perpetrators in accordance with the law.
“We hereby call on interested parties who are not satisfied with the results of the elections to challenge the same by following due process of the law.
“This affirms the council’s readiness to defend the resounding victory of President Muhammadu Buhari with all the legal expertise at its disposal.”