The National Alliance to Support Legitimacy, consisting of 33 Islamic movements, including the Muslim Brotherhood, Wednesday asked people to protest after the Friday prayer.
The alliance did not mention the venues for their rallies, according to Xinhua.
Egypt has witnessed unprecedented violent clashes since security forces dispersed two major pro-Morsi sit-ins in the country a week ago. Till now, nearly 1,000 people have been killed across the country, including some 100 policemen.
The alliance has failed over the past three days to organise massive marches, while the Egyptian authorities have detained the Muslim Brotherhood’s top leader Tuesday over inciting violence and killing anti-Morsi protesters.