Electoral authorities overnight said Kagame has won more than 98 percent of the vote with 80 percent of the votes counted so far, with no major change expected when final results are announced today. He had faced two challengers.
Kagame has already addressed jubilant supporters at party headquarters and urged Rwandans, including those who hadn't supported him, to work together.
Kagame has led the East African nation of 12 million people since the end of its genocide in 1994 in which more than 800,000 people died.
A constitutional amendment in 2015 allows Kagame to stay in power until 2034 if he pursues it.
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Kagame was running against Frank Habineza of the Democratic Green Party of Rwanda the only permitted opposition party and independent candidate Philippe Mpayimana. Three potential candidates were disqualified for allegedly failing to fulfil requirements including collecting enough signatures.
With 80 per cent of the votes counted, Mpayimana had received just 0.72 per cent and conceded defeat and congratulated Kagame. Habineza received 0.45 per cent.
More than 80 per cent of Rwanda's 6.9 million registered voters cast their ballots, according to Charles Munyaneza, executive secretary of the Rwanda Electoral Commission.