Security forces killed on Sunday a prominent member of the militant "Hasm" group during a raid on a terrorist hideout in Giza's 6 of October city, according to a statement from the Ministry of Interior.
One security personnel was also killed during the operation.
The militant was killed after opening fire on police, according to the statement. The security forces found several loaded firearms in the terrorist hideout.
Last week, the Ministry of Interior said it killed three militants of the "Hasm" group during a security raid in Upper Egypt's Assiut governorate.
The "Hasm" ("Resolve") group, which Egyptian authorities say is affiliated with the banned Muslim Brotherhood organisation, has claimed responsibility for a several terrorist attacks in recent months.
Most recently, the group claimed an attack on 9 December on a police checkpoint in Cairo's Haram district, in which at least six policemen were killed.
Cairo designated the Muslim Brotherhood a terrorist organisation in December 2013, saying it was responsible for a range of attacks and violent incidents following the ouster of Islamist president Mohammed Morsi in July 2013.
Attacks against Egyptian security forces have become common in recent years but are mostly concentrated in North Sinai, where army and police are battling an entrenched Islamist insurgency.