“Such heinous attacks are unacceptable and must stop immediately. All combating parties in Syria must abide by their obligations under international humanitarian law,” the UN chief said in a statement issued on Wednesday.
“Deliberate targeting of civilians and civilian targets constitutes a war crime,” Ban added.
Syria’s state television said “terrorists launched two rockets” at the university complex.
Later in the day Syrian Ambassador to the United Nations Bashar Ja’afari condemned the attack as “a cowardly terrorist act” targeting “the students of Aleppo University.”
On Wednesday, universities remained closed across Syria to mark a day of mourning.
Also on Wednesday, at least 24 people, including security forces, were killed and dozens injured in three coordinated car bombings in the northwestern Syrian province of Idlib.
Syria has been experiencing unrest since March 2011, and many people, including large numbers of security forces, have been killed.
The Syrian government says the chaos is being orchestrated from outside the country, and there are reports that a very large number of the militants are foreign nationals.