Peter Damm (born 27 July 1937, Meiningen, Thüringen) is a German horn player. He began his musical education aged eleven, on the violin, and started playing the horn in 1951 and graduated from the Franz Liszt Academy in 1957. In 1959 he was appointed as principal horn of the Leipzig Gewandhaus Orchestra, and from 1969 to 2002 he was principal horn at the Dresden Staatskapelle. On his retiring, the orchestra made him an honorary member. He is professor of horn at the Carl Maria von Weber music conservatoire (Hochschule für Musik) in Dresden.