The presidential election pitting President Goodluck Jonathan against former military ruler Muhammadu Buhari is the closest in Nigeria's history, and the first with a credible opposition challenge.
International election observers gave broadly positive reactions to the conduct of the vote, despite late delivery of election materials and technical glitches with new voter authentication devices.
Nigeria's Transition Monitoring Group, which had observers across the country, said: "These issues did not systematically disadvantage any candidate or party."
But the PDP was marginally ahead on the overall number of votes won so far. More results will be announced from 1900 GMT.
The PDP and the APC today traded allegations of rigging and other irregularities, which raises the possibility of a legal challenge to the results.
Violence has often flared in previous Nigerian votes after the winner is announced and the United States and Britain warned of any rigging in the count.
"But there are disturbing indications that the collation process -- where the votes are finally counted -- may be subject to deliberate political interference," they added.
Kayode Idowu, spokesman for the Independent National Electoral Commission (INEC) told AFP that there was "no basis" for the claim.
"There is no interference at all... We have no evidence of political interference," he said.
Kaduna state, one of the areas worst-affected by violence four years ago when some 1,000 people were killed in post-election clashes, was said to be calm.
"Election violence doesn't pay anybody. I think Nigerians have learnt from the fallout of 2011 and they are ready to be peaceful... And behave responsibly," said civil servant Salawu Abubakar.
But Suleyman Maaji, who also works for the government, added: "A lot of people decided to stay behind closed doors because they don't know, they are afraid. They don't know what might happen."
Some 2,000 women protesting against the conduct of the elections were teargassed as they tried to converge on the local electoral commission offices in the southern oil city of Port Harcourt.
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