Austria's national railway will offer free travel to the first 2,008 men and women who sign up for the May 11 photo shoot, which will be held rain or shine.
"This very special ephemeral installation that we are inviting you to be part of is devised to capture and combine the spirit of sports, the grand sweeping waves of stadium architecture and the abstract relation of the human form to modern structures," organizers said in a statement.
Tunick's record is photographing more than 18,000 unclothed people en masse in Mexico City's main square last year.
For the Vienna event, "2,008 naked people would be super!" said Katharina Murschetz of Kunsthalle Wien, a prestigious Vienna art exhibition center that is organizing the mass-nudity display.
Photographs will be displayed publicly on Vienna's central Karlsplatz square starting June 23, and each participant will get a copy.