Muk began playing music at the age of fifteen, performing with various underground punk bands including Dural and Gas, together with classmate and later bandmate Petr Kučera.
Both these ensembles were heavily influenced by the English synth-pop duo Erasure, a band whose UK tour Oceán had supported between 1989 and 1990.
Since 1997, when he released his first solo album, Muk performed as a solo artist, often in musicals and operas such as Rusalka, Joan of Arc (cs), Karel Svoboda's Golem (cs), and Janek Ledecký's Galileo.
On his solo records he also covered songs by artists including Olympic, Václav Neckář, and Karel Černoch.
In 2010, Muk was found dead by his wife in their home in Prague.