President Emmerson Mnangagwa’s party is poised to win a substantial parliamentary majority in Monday’s poll – the first elections since long-serving ruler Robert Mugabe was ousted.
The result of the presidential vote is expected later on Wednesday.
Earlier, the opposition MDC Alliance said that vote had been rigged and that its candidate Nelson Chamisa had won.
A preliminary report by the Southern African Development Community (Sadc) observer mission says that the elections were conducted largely in accordance with the law.
EU and US election monitoring teams are to issue their reports later on Wednesday.
The Zimbabwe Electoral Commission (Zec) has announced 110 seats for Zanu-PF so far, and 41 for MDC Alliance, ZBC state media reported.
There are 210 seats in the National Assembly’s lower house.
Monday’s polls attracted a high turnout of 70%.
State broadcaster ZBC has reported that the electoral commission will announce the presidential results will be announced at 12:30 local time ( 10:30 GMT).
Opposition splits show in votes
Watching the results trickling in from the Zimbabwe Electoral Commission (Zec) in the early hours, it became apparent that the ruling Zanu-PF had would have a majority in parliament.
Races in some constituencies were so close that they could have gone to the opposition Movement for Democratic Change (MDC), had it not been split between Nelson Chinamasa’s MDC Alliance and Thokozani Khupe’s MDC-T.
The MDC broke into factions after the death in February of its veteran leader Morgan Tsvangirai as his deputies battled over who his successor should be. In the polls that split showed. It is a lesson for the opposition that in future they not to lose sight of the bigger prize.