The attack occurred Wednesday when gunmen shot the 21-year-old officer, Ahram Online reported.
Also Wednesday, in the village of Sheik Zuweid, militants opened fire at a vehicle designed to transport infantry.
No injuries were reported, Ahram Online said.
Security forces also discovered an underground hospital in Sheik Zuweid Wednesday where insurgents were being treated and arms were being stored.
Attacks on officers and military have risen since former president Mohamed Morsi was overthrown in July.
In response, the army has launched a counter-terrorism campaign. More than 100 militants have been killed, and hundreds others have been arrested.