Nelson Chamisa, leader of the Movement for Democratic Change (MDC), the official opposition, insists he won the election, despite recent poll results indicating otherwise.
The ruling Zanu-PF party has won a majority of seats in parliament, the electoral commission said.
European Union observers are due to give their preliminary report on Zimbabwe's election later on Wednesday, two days after its first ballot since Robert Mugabe was ousted by the military after 37 years in power.
Zimbabweans were desperately hoping the peaceful election held on Monday would lift them out of economic and political stagnation after decades of Robert Mugabe's rule.
The Zimbabwe Electoral Commission (ZEC) had promised to release the presidential results today at 12:30pm, but later postponed indefinitely citing some legalities.
The figures from the Zimbabwe Electoral Commission showed ZANU-PF with 109 seats in the 210-seat parliament.The main opposition Movement for Democratic Change (MDC) had 41 seats. At one point, the relatives blocked hospital staff from wheeling the body to the mortuary and demanded a police explanation; a plainclothes officer said they could return Thursday to pick up the body after a police investigation.
That apparently prompted Home Affairs Minister Obert Mpofu to warn that anyone illegally announcing results would "provoke the wrath of the law and risk being sent to jail".
The ruling party's margin of victory in legislative elections makes Mnangagwa the stand-out favourite in that race, which featured 22 candidates.
"What they have done is intimidate people in the rural areas saying, "we will kill you if you vote MDC" and so on and then the worldwide observers say this election was free and fair". Many in his party had been on the receiving end of the police beatings and... But with that excitement came the dread that violence and alleged fraud, which for so long dogged elections during Mugabe's 37-year rule, might yet rear their heads again.
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Many Zimbabweans looked to the vote as a launching pad for a return to the kind of worldwide acceptance and relative prosperity that the country enjoyed in the first part of the rule of Mugabe, who took office after independence from white minority rule in 1980. We've more votes than ED (Emmerson Dambudzo).
The commission postponed announcing results of Monday's tightly fought presidential race, pitting Mr Mnangagwa against Mr Chamisa.
Biti said, given the results he has seen at polling station thus far, he believes it is not possible for Zanu-PF to win the election.
Chigumba, a high court judge, has flatly denied allegations of bias and strongly disputed accusations of rigging.
He accused Zanu-PF of trying to "manipulate" the results, called V11 forms.
Police patrol outside the Zimbabwe Electoral Commission offices as opposition supporters gather, in Harare, Zimbabwe, on August 1, 2018.
His attempts to position Grace as his successor are widely thought to have driven the military to intervene and put their favored candidate, Mnangagwa, in power.
Mnangagwa, Mugabe's former right-hand man, was the clear election front-runner, benefiting from tacit military support and control of state resources.
"The loss of life is the most painful experience we ever get subjected to".