Franz Kaspar Hesselbach (27 January 1759 – 24 July 1816) was a German surgeon and anatomist who was a native of Hammelburg. He was a pupil, and later Prosector under Karl Kaspar von Siebold (1736–1807) at Würzburg. Later Hesselbach was a lecturer at Würzburg, where one of his students was Konrad Johann Martin Langenbeck (1776–1851). His son, Adam Kaspar Hesselbach (1788–1856) was also a surgeon.