He started playing at the age of three, but began to study music seriously at the age of eight. He graduated from the then Šiauliai Saulius Sondeckis Conservatory, where he was taught accordion knowledge and skills by expert accordion teacher Marytė Markevičienė. He studied at the Royal Academy of Music in London, in the class of Professor Owen Murray. Later, he continued his bachelor's studies at the Higher Music School of the Basque Country, Spain, under professor Iñaki Alberdi.
At the age of twelve, Martynas started participating in national and international competitions and festivals in Lithuania, Italy, Poland, France, Belarus, Estonia. in 2006 The municipal council of Šiauliai gave Martyn the opportunity to play a new instrument. 2009-2010 organized concert tours in the United States in the summers. He plays in several chamber ensembles, one of the most recent of which is the most successful "Tango-Factory" (Martynas Levickis - accordion, Lauren Carter - vocals, Rimantas Vingras - piano)