Possessing a lyrical voice with a soft, elastic tone, and warm and melodious timbre, Dvorský's repertoire concentrates on roles from the Italian and Slavic repertories.

Immediately after graduating, he made his professional opera debut at the Slovak National Theatre in 1972, as Lensky in Tchaikovsky's Eugene Onegin.

A year later, he won the national singing contest named after Mikuláš Schneider-Trnavský at Trnava in 1973.

He then entered a yearlong apprenticeship under Renata Carosia and Giuseppe Lugga at La Scala in Milan from 1976 to 1977.

Dvorský was highly esteemed by Luciano Pavarotti, who referred to him several times as "my legitimate successor".