Two police conscripts were injured on Monday evening as a gunman opened fire on a security checkpoint located on Haram Street in Giza.
The injured men were taken to Haram Hospital for treatment, where their wounds were said to be non-critical.
Major General Hesham al-Eraqy, Giza security chief, and Major General Khaled Shalaby, head of Giza investigations department, headed to the scene of the incident to take control of the response.
Several checkpoints were set up in the area to capture the attacker. So far, security forces have identified no leads in the case.
Egyptian military and security forces have been battling a mounting insurgency since the removal of former President Mohamed Morsi in June 2013. Militants linked to the Islamic State terrorist group frequently conduct ambushes, mortar attacks and roadside bomb attacks, mainly in the North Sinai governorate.
In one of the largest single attacks, at least 15 police personnel were killed in an assault on a checkpoint in Arish, North Sinai. According to news reports, the attack was initiated by a car bomb at the checkpoint, followed by mortar fire.
Militants from the Sinai Province terrorist group, which is affiliated to Islamic State, later claimed responsibility.
In a typical attack, militants will detonate explosives and then fire on ambulance crews when they arrive to treat the casualties.
Though such attacks are mostly confined to the troubled north of the Sinai Peninsula, militant attacks have also been seen in Greater Cairo.
Edited translation from Al-Masry Al-Youm