The Interior Ministry says the incident took place overnight in Tsalka district, which has a mixed population of Armenians, Greeks, Svans, and Azeris.
Georgian media report 24-year-old ethnic-Armenian Gevork Gevorkian was killed during a fight with a group of Svans at a restaurant in Tsalka, the district's chief town. The Interior Ministry could not confirm those reports, but said five suspects had been arrested.
Tsalka district has witnessed several cases of ethnic unrest in the recent past.
(Imedi TV, Novosti-Gruziya, Civil Georgia)