Inna Shevchenko, 21, an activist in the Femen group, peeled off her top, revealing the words "Fuck Euro 2012" on her torso, and grabbed hold of the 60 cm (two feet) high cup while it was being exhibited in a central square in Dnipropetrovsk, according to a video clip released by Femen.
As security guards moved in on her, another activist, standing next to the cup ostensibly waiting to be photographed by sightseers, stripped off to the waist to display the same slogan.
Femen organisers said the second activist was a 46-year-old French journalist from a French women's magazine. "She also supports our struggle against sexism and prostitution and decided to take part," said Femen spokeswoman Anna Hutsol.
The Kiev-based Femen is focusing its topless protests for women's rights on next month's tournament, which Ukraine is co-hosting with Poland.
