Clashes erupted on Monday when student supporters of Morsi staged protests on university grounds, the officials said, adding that police fired tear gas at from outside the campus and arrested 13 demonstrators.
Clashes were also reported in the University of Zagazig, north of Cairo, where three students were wounded and three were arrested.
Student backers of Morsi have regularly protested on university campuses as a police crackdown on the ousted leader's supporters has weakened their ability to stage large street protests.
A journalist was wounded while covering the clashes in Cairo University, his employer and witnesses said.
Youm 7, an independent newspaper, said Khaled Hussein was shot in the chest.
A woman journalist was shot dead in Cairo on March 28 when police clashed with protesters rallying against ex-army chief Abdel Fattah al-Sisi's presidency bid.
Sisi overthrew Morsi in July after street protests demanding the president’s resignation.
The former army chief is now running for president and is widely expected to win.
RA/NJF