Since 2012 CCAT organizes Tbilisi Triennial - international exhibition and art activities. Triennial takes place in Tbilisi every three year.

The main topic of the 1st Tbilisi triennial comprised informal art education and its program included exhibitions, workshops, symposium, and different public events. Individual artists, collectives, theorists, and curators from 14 different countries were presented during the happening.

The second edition of the triennial was in 2015 with the main focus on Self Organized Systems.

Third Triennial in 2018 was around the main topic - Will.