Martin Stupka was born in Prague and gained his first musical experiences from the age of 5 on the recorder, the violin and the accordion. He began to study the viola at the age of 14 at the "Jan Neruda" Music High School in Prague, continuing his studies at the Prague Conservatory and ultimately in Berlin at the "Hanns Eisler" Academy of Music and at the University of Arts. During his studies he met with artists such as Libor Nováček, Karel Doležal, Volker Sprenger, Yuta Nishiama, Tabea Zimmermann, Wolfram Brandl, the Artemis Quartet with Natalia Prischepenko, and Günter Pichler.

Martin Stupka has performed at the JAZZ Baltica festival (with the Gerdur Gunnarsdottir Quartet and the Don Friedman Trio) or at the Volksbühne Theater Berlin in a play "Antigone/Elektra" by the director Werner Schroeter.

As a soloist, together with Dana Oerterová and the Piccola orchestra from Prague, he won the "Martinů Prize" at the festival Youth Stage in Carlsbad in 2004. In 2016, Martin performed (with Jan Mráček) the Sinfonia Concertante by Mozart in original scordature.

Martin Stupka has also given masterclasses at the String Master Courses in Dobřichovice.