The dead man was Mohammed Reda Mohammed Abdo, 19, a second-year engineering student, said senior health ministry official Ahmed al-Ansari and forensic authority spokesman Hisham Abdul Hamid.
The circumstances of his death were not immediately known.
Medics also said seven people were wounded.
Witnesses told AFP police used water canon, tear gas and birdshot to disperse protesting students, who were demanding Morsi's reinstatement.
Morsi supporters have regularly staged protests against the military since it ousted the Islamist leader on July 3 and, in recent months, have increasingly staged demonstrations in universities.
On Tuesday, police broke up two small protests in Cairo by secular and youth movements to oppose the law, widening the authorities' crackdown which so far has targeted Islamists.
And yesterday, authorities ordered the arrests of two prominent activists who led the revolt against long-time ruler Hosni Mubarak in 2011.
The suppression of mainly secular youths is seen as the opening of a new front by the authorities, which justified Morsi's ouster by saying it was responding to massive demonstrations against his rule.
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