One person has been killed and several others wounded in Cairo in the latest sectarian violence between Christians and Muslims which followed the funeral of Coptic Christians, officials say.

The clashes erupted on Sunday outside the city’s Coptic Orthodox cathedral, where a service was being held for four Christians killed in clashes on Friday, AFP reported.

The angry mourners chanted slogans against the ruling Muslim Brotherhood party as they left the cathedral and started hurling rocks at police officers.

The protesters damaged six private cars and set two on fire, prompting an angry reaction from Muslims living in the neighborhood, who pelted them with stones, according to a witness.

Police fired teargas to disperse the members of both communities.

"There is one fatality in (Cairo's) Demerdash hospital," Health Ministry official Ahmed al-Ansari said.

In a telephone call to Coptic Pope Tawadros II late on Sunday, Egyptian President Mohamed Morsi condemned the clashes at the cathedral, calling them "an attack on myself."

Morsi added that "the protection of all citizens, Muslims and Christians, is the responsibility of the state."

On April 5, four Christian Copts and one Muslim were killed when the two sides started fighting and shooting at each other in El Khusus north of the Egyptian capital.

The clashes happened which happened after Christian children drew a crucifix on the front wall of a Muslim religious institute in the Qalyubiyah governorate.

Christians make up about 10 percent of Egypt's 83 million population.