He graduated at the Conservatorium in Pardubice and at the Academy of Music Arts in Prague. He won many international competitions, e.g. in Zagreb (Croatia) and in Gorizia (Italy). He frequently gives solo recitals as well as concerts with orchestras, both in the Czech Republic and also abroad. To celebrate the 250th anniversary of J. S. Bach’s death in 2000 he performed a series of concerts of all Bach’s Sonatas and Partitas for violin solo at the Smetana’s Festival in Litomyšl. In 2002 he made a Multisonic solo CD recording of Bach’s Sonatas and Partitas. Since 2007 he works as a professor of violin at the Academy of Music Arts in Prague and in September 2010 he was appointed as a head of a string department of the Academy of Music in Prague. During his studies at AMU he became the first violinist of the Wihan Quartet and he still remains a member of this quartet. As a member of the Wihan Quartet he won the Prague Spring Award in 1988 and also the International Competition of the String Quartets in London in 1991. In 2008 – 2009 the Wihan Quartet performed all 16 Quartets of Ludwig van Beethoven. Leoš Čepický plays a violin from the workshop of violin master Jan B. Špidlen, copy of Guarneri del Gesù from 1741.
He studied violin at the P. J. Vejvanovského Conservatory in the class of Prof. Jaroslav Krátký between 2009-2015. He regularly participates in violin competitions – in 2011, at the Josef Muzika International Competition in Nová Paka he received an honorable mention and a year later the 3rd prize. In 2018, he received an honorable mention at the Bohuslav Martinů competition in Prague. Since 2011 he has regularly attended Master Classes of Prof. Bohuslav Matoušek in whose class he studied at the Academy of Performing Arts in Prague. In 2013 and 2015, he received a scholarship of the Czech Music Fund Foundation for the Support of Czech Modern Music. In September 2015, he performed as soloist with Moravian Philharmonic at Kroměříž Music Summer festival. In 2018-2019, he completed one-year of study at Universität für Musik und darstellende Kunst Wien with the concertmaster of Wiener Symphoniker Jan Pospíchal. He is a member of the Errai piano trio, which regularly performs in the Czech Republic, Germany and Turkey. In 2018, trio won 2nd place at the Bohuslav Martinů competition in Prague, and in 2019 they performed solo with the North Bohemian Philharmonic in Teplice.