Juraj Burian studied in the class of Jozef Zsapka at the Bratislava Conservatory (1987–1991) before acquiring a scholarship at the Berklee College of Music in Boston, which he finished in 1995. He is an active concert guitarist and sought-after studio player. He collaborated with Matúš Jakabčic trio, Scat band, with arranger and composer Alan Roy Scott, Peter Cardarelli, Johan Svensson, David Spak, Philipp van Endert, Big Band Radio Bratislava, he was a member of Bret’s Frets, a Boston students’ group led by Bret Willmott.
His distinctive performance put his stamp on projects of artists of various genres; he recorded with Adriena Bartošová, Peter Cardarelli, Marika Gombitová, Pavol Hammel, Soňa Horňáková, Richar Müller, Sylvia Josifoska and many others. He featured in the Eurovision Song Contest in Oslo (1996), took part in Bratislava Jazz Days.
In 1998 an ensemble Juraj Burian Band originated in the line-up Martin Gašpar – bassguitar; Juraj Tatár – keyboards; Marcel Buntaj – percussion; Johan Svensson, David Spak – guests.
In 1990 and 2001 he was awarded the Slovak Music Academy Prize – The Instrumentalist of the Year.