NightRider buses travel between the city ( City Square , Swanston Street ) and Melbourne 's outer suburbs every 30 minutes between 1.30 am â `` 4.30 am on Saturdays and 1.30 am â `` 5.30 am on Sundays . NightRider also has services to the city on most routes after midnight until approximately 3.30 am on Saturdays and 4.30 am on Sundays , with additional services on some routes . It operates on weekends and for special events from the Melbourne city center to the suburbs , running on 13 routes , with over three hundred stops between 1.30 am ( 12.00 am on the Doncaster route ) and 4.30 am on Saturdays and 5.30 am on Sundays .