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From Quick Guide: Travel in Europe Checklist
Summary: Traveling from Vienna to Budapest by train requires booking with the Osterreichischen Bundesbahnen, Austria's national railway, or booking a EuroRail pass for more travel flexibility. Ride the train for three or four hours from Vienna to Budapest with tips from an experienced travel guide in this free video on travel.
Sarah Sathmari is an experienced travel guide based in Hungary, Europe. She currently works for the company Yellow Zebra/Absolute tours. Sathmari is also organizing incentive tours for...read more
"You can book a travel from Vienna to Budapest by the OBB. The Osterreichischen Bundesbahnen, in the Austrian National Railway. But the Eurail also offers railway passes which would cover your trip from Vienna to Budapest and would allow you to travel within Hungary. This trip would take around three or four hours from Vienna to Budapest. OBB trains bound for Budapest will depart from Vienna Westbahnhof the Western Railway Station of Vienna. The tickets might be purchased in the station. Check out the OBB Osterreichischen Bundesbahnen website, or call the call center to review the availability of Sparescheine tickets. These limited fairs are offered by OBB at super discounts and apply to travel from Australia to a bordering country, such as Hungary. Try booking your trip from Vienna to Budapest in the Vienna Westbahnhof Western Railway Station."
eHow Article: How to Book Train Travel From Vienna to Budapest