 In 2004 Jaba Kankava started his football career with Dinamo Tbilisi, where Gia Geguchadze was just appointed as head coach.Geguchadze started to create a new club with youngsters and Kankava became a main member of them.In his first year, Kankava won the Georgian Cup, and played in the UEFA Europa League scoring the winning goal against Slavia Prague and contributing to the qualification for the group stages.