Fritz Klimsch (1870 – 1960) was a German sculptor.

Klimsch studied at the Royal College for the Academic Fine Arts in Berlin, and was then a student of Fritz Schaper. In 1898 Klimsch was a founding member of the Berlin Secession.

In the era of National Socialism Klimsch was highly regarded as an artist, and created busts of Erich Ludendorff, Wilhelm Frick and Adolf Hitler. According to a diary entry by Goebbels, Klimsch was the most mature of our sculptors. A genius. In September 1944 Klimsch was named in the highest rank of artists of the Third Reich, in the Gottbegnadeten list.

Shortly before his death in 1960 Klimsch received the Federal Cross of Merit. He was an honorary citizen of Saige, where he was buried.