After finishing his studies in Tbilisi Conservatory and the Leningrad (recently Saint Petersburg) Conservatory in 1989, Jordania continued his education in the United States. Under the tutelage of his father, renowned conductor Vakhtang Jordania, he completed his Master's Degree at the University of Tennessee at Chattanooga. He worked as an assistant conductor while at the University, conducting numerous symphony concerts. On July 4, 1990, he made his professional American debut with the Chattanooga Symphony, entertaining a crowd of 30 thousand people.
Upon his return to Georgia, Jordania started to work as a conductor of the Tbilisi State Academic Theatre of Opera and Ballet. In 1991, after tours of Georgia and later in the Ukraine, he was appointed Principal Guest Conductor of the Kharkov State Academic Theatre as well as Kharkov Philharmonic Orchestra. In 1995, his debut with the Russian Federal Orchestra in Moscow was hailed as a great success. This was the beginning of his international recognition.
His guest engagements have included appearances with orchestras in Denver, Colorado, Phoenix, Arizona, with the Cape Town Philharmonic in South Africa, Daegu City symphony in South Korea Romanian Radio Orchestra in Bucharest to name a few.
During the period of 1999-2003 Giorgi Jordania was a Chief Conductor of the Georgian State Chamber Orchestra. In April of 2000, the GSCO, conducted by Giorgi Jordania, took part in a tour "Pilgrimage from Europe to Jerusalem", visiting and playing concerts in Europe’s major cities with the final concert on Good Friday at the Dormicion Church in Jerusalem. After that Giorgi Jordania together with the GSCO and the well known violinist, Liana Issakadze began touring all throughout Europe, appearing in Germany, France, the Netherlands, Belgium, Switzerland, Italy and Spain. They also performed charitable concerts touring throughout their native Georgia, and for the Georgian community in Paris and Leville, France. In 2000 together with Liana Issakadze he founded Borjomi Chamber Music Festival in Georgia, where he was a Chief Conductor until 2003.
In 2001, Jordania became a Laureate of the First Prize and the winner of the Grand-Prix of the "New Millennium first International Competition of Conductors" held in Kharkov, Ukraine. The same year he became a Laureate of the prestigious "State Prize of Georgia".
Starting from 2002 he is regularly invited to the various competitions. 2005 in Ukraine and 2006 in USA he served as a jury member of Vakhtang Jordania International Conducting Competition.
In 2008 Jordania founded another festival – Tbilisi Easter Art festival and became its Artistic Director and General Manager.
Since February 2013, Giorgi Jordania has been appointed as a General Director of the Tbilisi State Academic Theatre of Opera and Ballet.
"Mendelssohn's Italian Symphony No.4 drew the finest playing of the night... Jordania had real thrust and drew a fine ovation."
"Jordania kept great pace and fine control... a charming and atmospheric performance... Jordania showed poise by his judicious use of rubato and delayed first beats."
"The unison and the blend heard from the ensemble created a sound of great emotion. What an excitement and depth was brought to light by this fine Maestro."
The Rocky Mountain News
"Jordania demonstrates quite a unique and distinctive manner of conducting and a mature professionalism."... "He easily bends the musicians of the orchestra to his intentions and thus leads."
"The clear and stylistically convincing expression of musical ideas, the huge musical scope, and the emotional depth combined with complex intellect - all qualities (that) make him an interpreter of refined and impeccable musical taste."
Eri Klas, Conductor (Estonia): "I am very happy to see that the orchestra sounded so balanced and creative thanks to musical skill of conductor G. Jordania. He has very expressive and beautiful conducting manner.”