The sources said that an Egyptian protester and a young US cameraman were killed in the deadly clashes in the port city of Alexandria on Friday.
They stated that the Egyptian was shot and the American was stabbed in the chest near the headquarters of the Muslim Brotherhood, which was set on fire by anti-government protesters.
More than 160 people were also injured during the clashes in Alexandria, Health Ministry spokesman Yahya Moussa said.
According to the Muslim Brotherhood’s Freedom and Justice Party, one person was killed in Morsi’s hometown, Zagazig.
One demonstrator was killed and five were others wounded after a gas cylinder exploded among protesters in the northeastern city of Port Said.
The Brotherhood said anti-government protesters had attacked and ransacked eight of its offices across the country.
In the capital Cairo, tens of thousands of pro- and anti-government protesters held separate demonstrations. The protests largely remained peaceful in Tahrir Square, around the Defense Ministry and in front of the presidential palace.
Earlier in the day, Egypt's leading clerics warned of "civil war" and appealed for calm as tension grew ahead of mass rallies planned by opposition to unseat Morsi.