Born in Hungary, Zsolt Peter started to play trumpet at the age of 8 and a year later moved on to French horn. After attending the Bela Bartok Conservatoire, he then graduated from the Academy of Ferenc Liszt in Budapest.
He was 19 when Zsolt Peter joined the Hungarian State Opera Orchestra in Budapest as fourth horn player. Four years later, he became a member of the Budapest Festival Orchestra under Ivan Fisher. In 1998 he joined the Malaysian Philharmonic Orchestra as a founder-member.