Security has been stepped up at the Cubic Apartments after a spate of antisocial behaviour.
Tenants at the flats in Birley Street within Crystal House said they felt intimidate by drug dealing and squatters in the block.
Police say they are monitoring the situation and believe the main perpetrators have now left.
One tenant said: “I caught a male shoplifting a few weeks ago. And found that he had been squatting in one of the flats.
“He’s been letting homeless people into the building and on numerous occasions they been seen selling drugs. Also damaging letterboxes and robbing people’s mail.”
He said the situation is so bad his partner feels unsafe in the building and he has to accompany her when she wants to leave the flat.
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Officers visited the premises last weekend after intelligence that a man wanted on warrant was staying in the building. However the person they wanted to speak to was not here.
A spokesman said: “We have officers paying passing attention to the building, as well as targeting those involved.
“As a result, we believe the main perpetrators have moved out of the building now with the locks to one flat changed. The landlord is aware of this.
“Building managers have installed further CCTV cameras in the building as a deterrent and police are investigating a number of crimes at the location, with CCTV being utilised to assist with the enquiries.
“We will continue to monitor the situation, but at this time it would appear that those responsible for the issues have left.
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