Police have charged a 37-year-old man from Rosetta with armed robbery and stealing in relation to an incident at a restaurant in North Hobart yesterday.

Police will allege the man entered the restaurant about 2.25pm and demanded money, while in possession of a syringe.

Police attended quickly and the man was arrested a short time later.

No physical injuries were reported in the incident.

The man will appear before the Hobart Magistrates Court at a later date.