A policeman and a police conscript were injured when unknown assailants opened fire outside the Franciscan Sisters School early Monday in Beheira governorate, Ahram Arabic news website reported.
One was shot in the leg and hospitalised while the other sustained minor injuries.
A security source told Ahram that unknown assailants attacked at five in the morning outside the school in Kafr El-Dawar town in Egypt's Nile Delta governorate, injuring a policeman and a police conscript who were on guard.
Egypt has been facing a decade-long Islamist insurgency in the Sinai Peninsula, which spiked after the ouster of Islamist president Mohamed Morsi in July 2013.
Militants have repeatedly attacked police and army sites and personnel in Sinai as well as other parts of the country, leaving hundreds dead and injured.
In recent months, militants have increasingly attacked economic targets in urban areas, such as electricity pylons and mobile-network stores.
Civilians have often fallen victim during various violent attacks.