From the airport:

• S-Bahn train : Line 7 to Wien-Südbahnhof (departs every 30 minutes, journey takes approx. 40 minutes).
  Then take the S1, S2 or S3 train to Landstraße. Change to the U3 and alight at the Volkstheater station
• Bus: Departure in front of the arrivals hall to Wien-Westbahnhof railway station (departs every 30 minutes, journey takes approx. 45 minutes and costs € 5.80).
  Then take the U3 to Neubaugasse (one station after Volkstheater)
• Taxi: Journey takes approx. 30 minutes (depending on traffic conditions) and costs around € 38

From Westbahnhof railway station

• U-Bahn underground train: U3 to Neubaugasse (one station after Volkstheater), journey takes approx. 10 minutes
• Taxi: Journey takes around 20 minutes (depending on traffic conditions) and costs around € 15.00