President John Dramani Mahama, the National Democratic Congress (NDC) presidential candidate for Election 2012, polled 50.63 per cent of the valid votes cast.
The Peoples National Convention (PNC) made the claim in statement signed by Mr Emmanuel Wilson, the party's National Organizer, copied to the Ghana News Agency in Accra on Saturday.
The PNC said collation of results it made, indicates Nana Addo Dankwa Akufo Addo, presidential candidate of the New Patriotic Party (NPP) had 47.71 per cent.
"By the results of our collation and its comparison with the figures declared by the Electoral Commission, as well as figures declared by other reputable institutions, we are confident that the results declared by the EC represent a true reflection of the 2012 December polls," the statement said.
It said, according to the PNC, the collation of its results show that the Progressive Peoples Party (PPP) had 0.59 per cent; Great Consolidated Popular Party (GCPP) 0.40 per cent; PNC 0.23 per cent; and the Convention Peoples Party (CPP) 0.19 per cent, the United Freedom Party (UFP) 0.09 per cent and the Independent Candidate 0.16 per cent.
The statement said the PNC sought to address the 2012 post-election issues that have engaged the attention of Ghanaians, particularly the declaration of results by the chairman of the EC, Dr Kwadwo Afari-Gyan.
It said the PNC set up structures for the collation of electoral results, from the polling station level to the constituency and national collation centers.
The statement said: "We were also represented at the EC's strong room for the purpose of comparing our collated figures with that of the EC collated and certified results".
The PNC, however, expressed grave concern that though any of the participants in the recent elections may have one issue or the other concerning the electoral process, the recent occurrences do not conform to lay down procedures of seeking redress.
The party called on leadership of other political parties to continue to preach the message of peace and to restrain their supporters from engaging in lawlessness.
The PNC appealed to Ghanaians, political party leadership, social and political communicators and radio serial callers to abstain from provocative language.
The party also called on media practitioners to respect ethics of their profession, cross check facts and eschew sensationalism