More than 100 people tried to storm a police station in Khartoum’s Diem quarter until police reinforcements arrived and dispersed the crowd with teargas and batons, witnesses said.
Around 200 people staged another protest in the same area in the afternoon, blocking a main road until police dispersed them with teargas.
The girl died on Monday during a disturbance in the same area. Police said a patrol had fired into the air after several people tried to attack it.
“One female citizen was injured and brought to hospital where she died later,” police said in a statement.
A relative of the girl told Reuters police had opened fire after an argument erupted between her brother and the patrol in front of the family’s house.
There was a heavy police presence in the area around the family’s home until the late evening.
Sudan has avoided an “Arab Spring” like Egypt or Syria but small protests have been staged in Khartoum and other university cities, mainly over high food inflation.
Sudan lost three-quarters of its oil production – the lifeline of the economy – when South Sudan became independent in July under a 2005 peace agreement which ended decades of civil war.