Bogdan Volkov studied singing at the Gliere Kiev Institute of Music.

In 2013 he completed his vocal studies graduating at Tchaikovsky Kiev National Academy of Music. From 2013 to 2015, he was a member of the Young Artists Program of the Bolshoi Theater in Moscow. During this period, he made his role debuts as the Simpleton in Boris Godunov, as Mozart in Rimsky-Korsakov's Mozart and Salieri, as Kai in Banevich's The Story of Kai and Gerda and as Vladimir Igorevich in Prince Igor. In 2014 he debuted as Lykov in a new production of Rimsky-Korsakov's The Tsar’s Bride, conducted by Gennady Rozhdestvensky. With this role, he took part in the Bolshoi Theatre tours to Austria, Hong Kong Arts Festival and the Lincoln Center Festival. In 2015 he was awarded the first prize and audience prize at the Paris Opera Competition. That same year, he debuted as Lensky in Eugene Onegin, working with director Dmitry Tchernyakov in his production at the Bolshoi. Since January 2016 he has been a principal soloist of the Bolshoi.

In 2016 he was awarded the second prize at Plácido Domingo’s Operalia, the World Opera Competition in Guadalajara. In 2017 he took part in the production of Weinberg`s The Idiot, singing the title role of Prince Myshkin, and he later performed in Rimsky-Korsakov's The Snow Maiden at the Bolshoi Theatre. For his performance in this role, he was awarded the national opera award. He also took part in concerts of the Bolshoi Theatre tours to Switzerland and France.

In 2017 he sang Lensky at the Festival d’Aix-En-Provence and Savonlinna Opera Festival and he made his Glyndebourne Festival debut as Ferrando in Cosi fan tutte. In 2018 he made his Metropolitan Opera debut as Tybalt in Romeo et Juliette. His future engagements include Don Ottavio in Don Giovanni in Palm Beach, The Tale of Tsar Saltan in Brussels, Fenton in Falstaff at the Bavarian State Opera in Munich and Lensky in Eugene Onegin in Vienna.