Craig Tieszen (October 24, 1949 − November 23, 2017) was an American politician who was a Republican member of the South Dakota Senate, representing District 34 from January 2009 to January 2017, and represented District 34 in the South Dakota House of Representatives from January 2017 to his death 10 months later. Tieszen was a volunteer for the Peace Corps and served as the chief of police for the Rapid City Police Department.