Claus Peter Flor (born 16 March 1953, Leipzig) is a German conductor. He played the violin as a youth, and later was a conducting student with Rolf Reuter. Flor served as chief conductor of the Konzerthausorchester Berlin from 1984 to 1991. He was artistic advisor and principal guest conductor to the Tonhalle Orchestra Zürich from 1991 to 1996. He was principal guest conductor of the Philharmonia Orchestra from 1991 to 1994, and has been principal guest conductor of the Orchestra Sinfonica di Milano Giuseppe Verdi since 2003.