The opposition coalition said 88% of voters abstained and it refused to recognize the election. It also called for more protests on July 31.
July 30 election was marred by violence, with widespread protests and at least 10 people killed.
President Nicolás Maduro hailed the poll as a “vote for the revolution”.
Venezuelans were asked to choose the more than 500 representatives who will make up a constituent assembly.
The constituent assembly was convened by Nicolas Maduro to rewrite the existing constitution, which was drafted and passed in 1999 when his mentor, President Hugo Chávez, was in office.
On July 31, the head of the CNE, Tibisay Lucena, announced that there had been an “extraordinary turnout” of more than eight million voters.
She also announced that President Maduro’s wife, Cilia Flores, was among those elected as representatives, as well as the president’s close allies Diosdado Cabello, Iris Varela and Delcy Rodríguez.
The announcement was met with outrage and derision by the opposition, who boycotted the vote.
Opposition politician Henry Ramos Allup said their figures suggested fewer than 2.5 million Venezuelans had turned out to vote.
With the opposition boycotting the election from the start and not fielding any candidates, it was always less about who would be elected and more about how many Venezuelans would take part in the voting.
The opposition held an unofficial referendum two weeks before the election asking Venezuelans whether they wanted a constituent assembly at all. According to opposition figures, more than seven million Venezuelans rejected the constituent assembly in that vote.
The opposition urged Venezuelans to stay at home and even some Chavistas (supporters of the socialist movement created by President Hugo Chávez and of which Nicolas Maduro is a part) said they objected to the constituent assembly and would not vote.
There were widespread reports of public sector workers being told by their bosses to go and vote or face being sacked.
How many people turned out was therefore seen as a key indicator of support for the government.
The opposition claims that the figures are unverifiable because a number of procedures which have been in place at previous elections were not followed.
For example, voters’ little fingers were not marked with indelible ink to prevent them from trying to vote multiple times.
There were also no independent observers.
However, Tibisay Lucena said voting had proceeded “normally” and that violent outbreaks at a small number of polling stations had been controlled.
Nicolas Maduro convened the constituent assembly on 1 May amid fierce anti-government protests.
The president argued the constituent assembly would promote “reconciliation and peace”, however he did not give details of exactly how rewriting the constitution would achieve such broad aims.
Government critics fear that President Maduro wants to use the constituent assembly to maximize his power and cling on to it for longer.
As the constituent assembly will be drawing up a new constitution it has the potential to fundamentally change how Venezuela is run.
The last time a constituent assembly met in 1999, the legislature was suspended while the constitution was debated.
The opposition has called for fresh protests on July 31.
On July 30, at least 10 people were killed in protests across the country, prompting opposition leader Henrique Capriles to speak of a “massacre”.
Despite a government ban on protests and the threat of jail terms of up to 10 years for anyone disrupting the electoral process, streets were barricaded and a number of polling stations attacked ahead of the vote.
Tensions are likely to increase further on July 31 and ahead of the swearing-in of the constituent assembly members on August 2.
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