Tesch is a surname. Notable people with the surname include:
Al Tesch (1891–1947), American baseball player
Bruno Tesch (1890–1946), German chemist
Cornelia Tesch, German figure skater
Johan Jacob Tesch (1877–1954), malacologist from the Netherlands
Johanna Tesch (born 1875–1945), German politician
Karl-Heinz Tesch (1930–1997), German journalist
Liesl Tesch (born 17 May 1969), Australian wheelchair basketball player
Maria Tesch (1850–1936), Swedish photographer
Pieter Tesch (1879–1961), malacologist from the Netherlands, brother of Johan Jacob Tesch
Silke Tesch (born 1958), German politician
Willy Tesch, Swedish sprint canoer
Lawrence Tesch, (born 1965), American mortgage banker