BBC-Former military ruler Muhammadu Buhari has become the first opposition candidate to win a presidential election in Nigeria.
Gen Buhari beat incumbent Goodluck Jonathan by more than 2.5 million votes, final results showed.
Mr Jonathan telephoned his rival to concede defeat. Gen Buhari’s supporters took to the streets to celebrate.
Observers have generally praised the election, though there have been allegations of fraud.
Election results as they happened”I promised the country free and fair elections. I have kept my word,” Mr Jonathan said in statement.
He said he had conveyed his “best wishes” to Mr Buhari, and urged “those who may feel aggrieved to follow due process… in seeking redress”.
A spokesman for Gen Buhari’s All Progressives Congress (APC) party praised Mr Jonathan, saying: “He will remain a hero for this move. The tension will go down dramatically.”
Gen Buhari’s supporters have celebrated by dancing and singing in the streets in APC strongholds, including the northern cities of Kano and Kaduna.
Nigeria’s electoral commission officially declared the 72-year-old general the winner of the presidential election early on Wednesday morning.
The APC won 15,424,921 votes and Mr Jonathan’s People’s Democratic Party (PDP) gained 12,853,162 votes.
Gen Buhari’s victory is a hugely significant moment in Nigeria’s turbulent history. Never before has a sitting president been defeated in an election.
Since independence from Britain in 1960, there have been numerous coups and most elections have been rigged. Of course in a close election there will be many voters who are not pleased with this outcome but the whole process is a sign that democracy is deepening in Nigeria.
The poll has once again brought to the surface dangerous religious and regional differences and there is still a threat of violence.
The man who has been voted out, Goodluck Jonathan, has played a huge part today in trying to prevent that. He made the phone call when there would no doubt have been some in his camp who would have preferred to dig their heels in.
The APC issued a statement after the result was announced, calling for “calm, sober celebrations” and warning supporters not to attack opponents.
“He or she is not with me, whoever does that,” the president-elect said.
He is due to give a speech later on Wednesday.
The former military ruler dominated the country’s north-western states, which have suffered most from attacks by Islamist militant group Boko Haram.
In Borno state, one of the worst-affected by Islamist violence, Gen Buhari won 94% of the vote.