The chairman of the African Union, Rwandan President Paul Kagame, was due in Kinshasa on Monday after it and other global bodies voiced concern over the results.
The declaration came shortly after the African Union in an unprecedented move asked Congo to delay announcing the final election results, citing "serious doubts" about the vote.
The statement reflects concern by Congo's many neighbours that more unrest could spill across the borders.
According to the publication, their analysis of the two tallies "shows a near flawless correlation" of the official results and the church's partial results, supporting the church's stance that the results announced last week are not accurate.
The Constitutional Court rejected challenges by two unsuccessful candidates in the early hours on Sunday in the capital, Kinshasa. It will also bring an end to the 18-year rule of President Joseph Kabila, whose tenure was marred by a controversial 2011 reelection, violent crackdowns on opposition supporters and allegations that he used his position to expand his family's business interests.
Many Congolese are now concerned that the election dispute will fan widespread, violent disorder.
The electoral commission has said Tshisekedi won 38 per cent of the vote and Fayulu 34 per cent.
Announcing the final results of the much-delayed poll, the Constitutional Court threw out a legal challenge by runner-up Martin Fayulu.
The U.N. human rights office said on Friday it had documented 34 people killed, 59 wounded and 241 arbitrary arrests since the provisional results were announced on January 10.
"I am now considering myself as the sole legitimate President of the Democratic Republic of Congo", he added in another statement.
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On Sunday, the Southern African Development Community, which had previously appeared sceptical of the results, issued a statement to congratulate Tshisekedi on his victory.
Congo's government called it a matter for the court.
Fayulu, a lawmaker and businessman who is outspoken about cleaning up Congo's sprawling corruption, is widely seen as more of a threat to Kabila, his allies and their vast wealth.
Election observers reported multiple problems, including the last-minute barring of some one million voters in the east, with the electoral commission blaming a deadly Ebola outbreak.
The election came after more than two turbulent years of delays as many Congolese anxious that Kabila, in power since 2001, was seeking a way to stay in office.
All of the election results, not just the presidential ones, have been widely questioned after Kabila's ruling coalition won a majority in legislative and provincial votes while its presidential candidate finished a distant third.
Congo, a vast and volatile country of 80 million people sprawling across central Africa, is the world's leading miner of cobalt, used in electric auto batteries and mobile phones, and Africa's biggest copper producer.
"The first thing, Kagame is not a model of democracy", Losala said.
Awaiting Sunday's court announcement, Hundreds of supporters of Tshisekedi gathered outside the court holding placards saying "No to interference" and "Independent country" as riot police stood nearby.
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