Macky Sall picked up 58.27 percent of the vote, while his nearest rival, Idrissa Seck, took 20.50 percent.
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An interior ministry source says turnout for the election was 66.5 percent.
Full official results from the vote are expected by Friday midnight at the latest.
Official results from each region are not expected until Tuesday with a nationwide announcement by Friday
Sall took over as president in 2012 after beating his former mentor Abdoulaye Wade
Some 6.7 million people from a population of around 16 million are registered to vote.
His two biggest rivals – Dakar ex-mayor Khalifa Sall and Karim Wade, son of the previous president – were disqualified
Senegalese head to the polls on Sunday
More than 6.5 million people are registered to vote, with polls opening on Sunday at 8 a.m
Violence erupted in Tambacounda, pitching supporters of President Macky Sall against those of opposition candidate Issa Sall.