The Supreme Electoral Committee (SEC) today announced that the newly drafted national charter was approved by 98.1 per cent of voters, Al-Ahram online reported.
According to SEC chief Nabil Salib, the turnout for the poll was 38.6 per cent of the 20.5 million registered voters, in comparison to 32 per cent during the 2012 referendum.
The new charter would replace the one approved under Islamist President Mohammed Morsi, who was toppled by the military in July following mass protests demanding his ouster.
The referendum is a key step in the political transition plan billed by the military-backed interim government as a path to democracy, even as it presses a fierce crackdown on the Brotherhood.
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The roadmap was announced by army chief El-Sisi after Morsi's ouster. It stated that the constitution would be followed by parliamentary elections and presidential polls.
The new charter, drafted by a liberal-dominated committee appointed by the government, would ban political parties based on religion, give women equal rights and protect the status of minority Christians.
Meanwhile, Arabic language newspaper Al Tahrir reported that Egyptian President Adly Mansour will announce that presidential elections will be held in March.
It quoted Essam Eddine Abdel Aziz, first deputy to the head of the State Council, as saying that Mansour will call on people to take part in the polls.
Gen El-Sisi has yet to say outright whether he plans to seek the country's highest office, but his candidacy appears increasingly likely after the results of the referendum.
More than 1,000 people have died in violence since Morsi's overthrow.