Rimša is the masculine form of a Lithuanian family name. Polish version: Rymsza, Russian/Ukrainian: Rimsha, Belarusian: Rymsha.) Its feminine forms are: Rimšienė (married woman or widow) and Rimšaitė (unmarried woman). Notable people with the surname include:
Edmundas Rimša (born 1948), Lithuanian historian Petras Rimša (1881–1961), Lithuanian sculptor Fyodor Rimsha (1891–1942), Russian Olympic football (soccer) player Andrey Rymsha (ca. 1550–1599), Belarusian poet of the Grand Duchy of Lithuania Filip Jan Rymsza (born 1977), Polish-born American filmmaker and writer Donata Rimšaitė (born 1988), female Lithuanian modern pentathlete Vilma Rimšaitė (born 1983), Lithuanian female Olympic BMX cyclist