The rallies are a test of whether Morsi's supporters can keep up their pressure despite an intensive security crackdown on the Muslim Brotherhood, from which he hails.
The demonstrations come a day after deposed autocrat Hosni Mubarak was released from prison and placed under house arrest in a military hospital in southern Cairo, adding to tensions. Although Morsi supporters have not mentioned the release in their calls for protests, some anti-Morsi revolutionary groups planned demonstrations against it.
Mubarak is still facing trial on charges of complicity in the killing of nearly 900 protesters during the 2011 uprising against him. But his release was viewed by many who rebelled against him as a setback in their campaign to hold him accountable for years of abuse and corruption.
Morsi supporters have kept up protests since July 3, when he was ousted by the military after millions took to the streets.
On the Brotherhood's political party Facebook page, the group said the Friday rallies are against the coup and those seeking to "capture" the January 25 uprising that ousted Mubarak.
Since Morsi's ouster, hundreds of Egyptians have been killed in the worst bout of violence since 2011. Hundreds of Brotherhood members, including senior leaders, have also been arrested.
Military troops deployed around the capital, closing off Tahrir square to traffic and setting up barbed wire at some of its entrances. A main thoroughfare in the capital that houses a mosque used as a launching pad for protests was also closed. Armored vehicles were deployed around the presidential palace and near the Rabaah al-Adawiya mosque, where Morsi supporters had held a sit-in for weeks that was violently dispersed and resulted in the death of hundreds.
