The Arts Centre 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 the Arts Centre. Stop number 14.
The free Melbourne City Tourist Shuttle runs in a loop through Melbourne's CBD every 30 minutes, and stops at the Arts Centre on St Kilda Road (Stop 1). For more information please go to www.thatsmelbourne.com.au/GettingAroundTheCity.