Udo Fritz Peter Klement (born 12 January 1936) is a German musicologist and music critic.
From 1954 to 1958 he studied music education and German language and literature at the philosophical faculty of the Karl-Marx-University Leipzig.
From 1977 he was a lecturer, from 1980 to 1993 full professor for music history at the Section for Cultural and Art Studies of the Karl Marx University Leipzig.
He was repeatedly a member of the musicology working group of the Scientific Advisory Board for Cultural, Artistic and Linguistic Studies at the Ministry of Higher and Technical Education (East Germany).
Klement was a permanent contributor and music critic for the daily newspaper Die Union [de].
From 1973 to 1989 he contributed articles on the "GDR musical development" for the Yearbook of the Great Soviet Encyclopedia in Moscow.