His musical heritage is rich. Lyudkevych is known to set on music the best poetical works by T. Shevchenko, I.Franko, M. Shashkevytch, M.Rylsky. In his work he paid much attention to composing choral music and cantatas. In fact he worked in different genres, but his favourite were the vocal and symphonic ones. His best symphonic cantatas are "The Testament" to the words by T.Shevchenko and "The Farm Hand" ("Naimyt") to the words by I.Franko. In his musical pieces S. Lyudkevych created dramatic personages and the ideas of struggle with the oppressors. He wrote only one, but very expressive opera, based on Ukrainian folklore, "Dovbush".

For many years he worked in the Lviv conservatoire, paying much attention to bringing up young musicians, leading scientific work in the field of musical art and inquiring into both the history and theory of musical art. He died in Lviv in 1979 at the age of 100 and as other outstanding Lvivites was buried in Lychakiv cemetery.