Garibov repeated as high bar champion at the 2013 European Championships in Moscow. With the Russian team (Nikolai Kuksenkov, David Belyavskiy, Denis Ablyazin and Nikita Ignatyev), he won Russia the team gold at the 2013 Summer Universiade, in Kazan, Russia. He won the Parallel Bars final ahead of teammate David Belyavskiy and at the Horizontal Bar he posted the highest score of 16.025 to win the gold medal.