From the early 1980s, Giorgi Giorgadze was one of the leading Georgian chess players. In 1982 and 1988 he won Georgian Chess Championship. In 1989, Giorgi Giorgadze qualified to the Soviet Chess Championship final tournament, finishing in Odessa in 12th place. In 1997, in Groningen he participated in FIDE World Chess Championship, in which in first round he won Étienne Bacrot and in the second round he lost to Michael Adams. In 2007, in Tbilisi he won bronze medal in Georgian Chess Championship.