Security forces killed two people in a gunfire exchange in Fayoum governorate on Friday, a security source told state news agency MENA.
The source said an arrest warrant had been issued for the two men, aged 27 and 30, by the prosecution in relation to 20 different "terrorist related cases."
He added that the two were killed when police attempted to arrest them at a house they were hiding in in Tamia village in Fayoum.
It is not clear what triggered the exchange of gunfire.
The source told MENA that the men had been wanted for killing a police officer in an armed attack on a police van used for transferring prisoners.
The men had also allegedly killed a four-year-old girl and a civilian man during a separate attack on a police officer's car, which they were travelling in.
In a similar incident last May, police killed two men suspected of carrying out an attack a week earlier on the house of a judge, Moataz Khafagi, in Helwan.
The interior ministry said the suspects fired at security forces which were sent to apprehend them in their hideout in the district in southern Cairo, prompting the officers to shoot back.
The judge had presided over several criminal cases against Islamists and sentenced dozens to death.