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The man was taken into custody just before 11.30am, but not before six police cars rushed to the scene at Highland House Lower Stuart St and cordoned the street off between Cumberland St and Moray Pl.
It appeared the man had climbed through a smashed window in the first floor of the building and on to the awning.
Before he was taken into custody he was heard yelling about probation services being "corrupt".
The building houses the Department of Corrections.
A police spokeswoman confirmed a person had been taken into custody after the incident, and more information would be provided when available.