Arts Centre Melbourne is a couple of minutes walk from Flinders Street Station or take any tram (except tram no.1) along St Kilda Road and disembark at Arts Centre Melbourne. Stop number 14.
The free Melbourne City Tourist Shuttle runs in a loop through Melbourne's CBD every 30 minutes, and stops at Arts Centre Melbourne on St Kilda Road (Stop 1). For more information please go to www.thatsmelbourne.com.au/GettingAroundTheCity.