Concerns are growing about public safety in and around Lanyon Place at the Waterfront Hall in Belfast.
A 14-year-old girl was raped in the area at the weekend and last week an 18-year-old man jumped off a bridge to avoid a fight in the same area.
A total of 36 people were arrested in the city centre over the weekend.
The district police commander for south Belfast, George Hamilton, said police were working hard to deal with what he described as a "significant problem".
"We have robust enforcement, but we need a longer term approach," he said.
"We would also appeal to the young people themselves and their parents to take their responsibility seriously."
A 20-year-old man arrested in connection with the girl's rape has been released on bail.
The attack happened in Lanyon Place, near the Waterfront Hall at about 2030 GMT on Saturday, police said.
It is understood that police are following a definite line of enquiry in relation to the assault and they have appealed for witnesses.
Belfast Lord Mayor Jim Rodgers said he was shocked by the attack, describing it as a "serious development".
Sinn Fein West Belfast assembly member Jennifer McCann urged anyone with information about the attack to go to the police.
"It is a horrendous crime to happen to anyone but to happen to someone at such a young age is appalling," she said.
"I just hope she gets the support and help she needs now and in the longer term."
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