The fictional Star Wars characters were campaigning for the Dark Lord's Internet Party but rules under Ukrainian law forbid candidates canvassing on voting day
Restrained: Chewy was handcuffed by four police officers after he failed to show his ID
The Dark Lord's Internet Party was founded in 2007 and campaigns for free computer lessons for Ukrainian citizens and a move to digital media away from paperwork.
On Friday, a statue of Vader was unveiled in Odessa after legislation was passed earlier in the year to remove communist symbols in Ukraine.
A former monument of communist revolutionary Vladimir Lenin was transformed to represent Vader with his iconic mask, helmet and cape. The statue serves as an internet Wi-Fi hot spot.
Last year, the Internet Party secured 0.36% of the vote, failing to win a constituency seat.