Martina Grunert (later Koch then Abresch, born 17 May 1949 in Leipzig) is a retired German swimmer who participated in the 1964 and 1968 Summer Olympics.
As a part of the 4 × 100 m freestyle relay team she was sixth in 1964 and won a silver medal in 1968.
Her best individual achievement was fifth place in 100 m freestyle in 1968.
She also won two gold medals in the European Aquatics Championships: 100 m freestyle (1966) and 200 m medley (1970).