A man charged with attempted murder is accused of trying to push a young woman off an apartment high-rise balcony in the heart of Brisbane on Thursday.

Police were called to Oaks Festival Towers on Albert Street in the CBD about 10pm after calls from concerned nearby residents.

Police will allege the 39-year-old man tried to push the 18-year-old woman from a balcony within the unit complex.

Officers said the man and woman were known to each other. He was arrested near the tower block and the woman was taken to hospital with a non-life-threatening injury.

The man, from Bongaree on Bribie Island, was charged with attempted murder (domestic violence offence), assault occasioning bodily harm (domestic violence offence) and possessing a drug utensil.

He was due to appear in Brisbane Magistrates Court on Friday afternoon.

Oaks Group has been contacted for comment