Another eight people were wounded across the capital as 53 people suspected of rioting were arrested nationwide.
Morsi supports often take to the streets in protest against his removal last July 3 by the man who replaced him, ex-army chief President Abdel Fattah al-Sisi.
Sisi was elected with 96.9 per cent of the vote in late May after eliminating virtually all opposition, Islamist or secular.
Since he removed Morsi last year, police and the security forces have cracked down hard on the former president's Muslim Brotherhood power base.
The Brotherhood itself has been designated a "terrorist" group.
Yesterday, a court sentenced Brotherhood chief Mohamed Badie and 13 others to death over violence that killed 10 people in Cairo last summer.