Fire tenders at the scene with fire personnel according to report are busily fighting the flame.
According to an eyewitness who spoke to Accra-based Class FM, the fire started from a faulty air condition which exploded Thursday evening.
He said he doesn't know what happened before the fire started.
The eyewitness stated that fire service were called but got to the scene after an hour.
Vienna City is directly opposite the Goil filling station which was burnt down in the June 3, disaster in 2015, which claimed over 150 lives.
Vienna City is one of the biggest entertainment centres that is open from 11am to 5am each day throughout the week and situated at Kwame Nkrumah Circle, opposite GCB Tower.
The Garden restaurant serves Ghanaian, European and Lebanese cuisine as well as different kinds of pizzas and fish specialties.