S.D. Codified Laws § 12-6-3
No person's name may appear on the primary election ballot as a candidate for nomination to more than one public office in the same election, except that a person may be the candidate for any public office and the office of President of the United States, vice president of the United States, director of a water development district, or director of a consumer power district. A candidate for any such office is not prohibited from seeking election to one or more party offices as may be provided in chapter 12-5. If a candidate secures a nomination at a state party convention, the candidate shall withdraw as a candidate from one of the offices and submit the withdrawal to the secretary of state on or before the date on which the secretary of state receives the state party certification.
SDCL 12-6-3