After successes in several important international competitions for conductors — including the competition in Besancon France in 1971 and the Karajan Competition in Berlin in 1973 — his career began at the opera company in Pilsen. From 1974 to 1978, he was Chief of Opera of the State Theater in Usti nad Labem, Czech Republic. In 1978, he was appointed Chief Conductor of the Brno Philharmonic Orchestra, a position he held until 1991. Vronsky was later appointed Chief Conductor of the Janacek Philharmonic Orchestra Ostrava in 2002.
As a guest conductor, Vronsky has conducted many famous foreign symphony orchestras: Berlin Symphony Orchestra, Munich Radio Symphony Orchestra, Dresden Philharmonic Orchestra, Stuttgart Philharmonic Orchestra, St. Petersburg Philharmonic Orchestra, Royal Philharmonic Orchestra Antverpen, Zagreb Philharmonic Orchestra, Zurich Symphony Orchestra, Yomiuri Symphony Orchestra, and Tokyo Metropolitan Symphony Orchestra.
He was also a frequent guest conductor of Czech Philharmonic Orchestra, Prague Symphony Orchestra, Prague Radio Symphony Orchestra, and Brno Philharmonic Orchestra. In addition to conducting symphonic works, he collaborated with opera companies: National Theater in Prague, State Opera Prague, Vienna Chamber Opera, Monte Carlo Opera, Dans Theater in Den Haag, and Teatro Colon Buenos Aires.
Vronsky’s broad repertoire includes more than two hundred symphonic and operatic works.