Egypt's interior ministry said three civilians were injured late on Wednesday night in a bombing in the Greater Cairo neighbourhood of Faisal.
An improvised explosive device detonated while a police convoy was passing through a local street, the ministry said in a statement released late on Wednesday.
The explosion injured three people who happened to be at the scene and damaged two police vehicles.
One suspect has been arrested in relation to the attack, the ministry added.
Egypt's army has been grappling with an insurgency based in North Sinai, which has resulted in the deaths of hundreds of militants and security forces. Bombings in the Nile Delta are also commonplace, with most attacks targeting security forces.