Hundreds of Egyptians filled Tahrir Square in Cairo – a key site of the 2011 Egyptian Revolution – demanding his resignation.
Demonstrations also reportedly took place elsewhere around the country.
There have been some arrests, but other people remain on the streets.
The protests are in response to corruption allegations against President Sisi’s government.
An Egyptian businessman and actor, Mohamed Ali, has posted a series of videos online accusing the leader of wasting millions on luxury residences and hotels while millions of Egyptians live in poverty. Egypt has pursued a policy of economic austerity in recent years.
President Sisi has dismissed the allegations as “lies and slander”.
What’s happening in Egypt?
“Sisi out” and “The people want to overthrow the regime” topped Egyptian Twitter’s trending list late on Friday.
Hundreds of anti-regime protesters were in and around Tahrir Square despite efforts to disperse them.
Even a few days ago such scenes would have “unthinkable”, BBC correspondent Sally Nabil tweeted.
Demonstrations were also reported in Egypt’s second-largest city Alexandria and in Suez, according to Al Jazeera.
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