Archbishop Stefanos, head of the Mar Girgis (St George) Coptic Church in al-Bagur was quoted by German press agency DPA as saying, "There is anger among the Christians because they feel their blood has been made cheap."
The Archbishop told DPA that a man repeatedly stabbed local shopkeeper George Abdu, 63, in the abdomen and the neck, killing him, then fled on a Harley-Davidson motorcycle.
The killer then drove four kilometres to the village of Bamahai where he repeatedly stabbed a cobbler before driving to another village, Mit Afifi, where he stabbed a third Christian man. They are still in hospital, said Stefanos.
Coptic Christians make up about 10 per cent of the population in Egypt. They have often complained of discrimination and such attacks have only increased their hostility towards the government for failing to stop them.
Until recently, Egyptian law barred Christians constructing or fixing churches unless they received a permit from the president.
The power to approve such requests was recently granted to governors, but the Coptic community says it has seen little improvement. No such approval is needed for the construction or maintenance of mosques in Egypt.