A policeman and two civilians were injured late on Tuesday during clashes between Islamists and opposing civilians north of Cairo, state news agency MENA reported.
Islamists have been hard hit by a broad security crackdown since the ouster of Islamist president Mohamed Morsi in July. Hundreds of Islamists have since been killed in street violence and thousands arrested.
Clashes broke out late on Tuesday between supporters of Morsi's Muslim Brotherhood group and civilian opponents during a march by Islamists in the Shubra Al Kheima district of Qalioubiya.
Some of the protesters, who shouted anti-army and anti-police slogans, threw Molotov cocktails at a police vehicle outside a police station, leading to fights with opponents who confronted them.
Police later moved in to scatter the crowds and arrested several people, MENA reported.
The Brotherhood was designated a terrorist organisation by the authorities late last year, a label confirmed by a court ruling on Monday.
The government accuses the Islamist group of orchestrating deadly militant attacks in recent months. The group vehemently denies the accusations.
Dozens of police and soldiers have been killed in shootings and bombings across the country. And the army is fighting an Islamist insurgency in the border Sinai Peninsula.
