Peter Klein (born 21 February 1959 in Schötmar, North Rhine-Westphalia) is a retired West German sprinter who specialized in the 100 metres.
At the 1982 European Championships he helped win the 4 x 100 metres relay with teammates Christian Zirkelbach, Christian Haas and Erwin Skamrahl. He finished fifth at the 1984 Summer Olympics and sixth at the 1988 Summer Olympics, both times in the relay. He also competed at the 1986 European Championships, the 1987 World Championships and the 1990 European Championships without reaching the finals.
Peter Klein represented the sports team SV Salamander Kornwestheim.