The composer of Hungarian Rhapsody is Franz Liszt, a Hungarian composer and virtuoso pianist of the Romantic era. He was one of the most prominent figures in music during the 19th century and his influence on subsequent generations of composers was profound. His compositions were highly influential in the development of symphonic, concertante, and operatic music. He is best known for his piano works, including the Hungarian Rhapsodies, which are among the most popular pieces of classical music ever written.