S.D. Codified Laws § 34-25-16.1
If the birth occurred in South Dakota, the Department of Health shall issue a new certificate of birth in the new name of the child and with the name of the adopting person. However, a new certificate of birth may not be prepared if so requested by the court decreeing the adoption, the adoptive parents, or the adopted person.
If the birth occurred in a foreign nation and the adoption decree is entered in a court of this state, the Department of Health shall issue a new certificate of birth in the new name of the child and with the name of the adopting person. The birth certificate shall be prepared in accord with the facts as found and entered by the court. If the birth occurred in a foreign nation and the adoption was finalized in a foreign nation, any circuit court of this state may issue an order, ex parte and without hearing, directing that a new certificate of birth be issued upon filing the following documentation:
The Department of Health shall issue a new certificate of birth in the new name of the child and the name of each adopting person upon receipt from the clerk of courts such information necessary to establish a new certificate of birth on a form prepared by the department.
The issuance of certificates pursuant to this section is conditioned upon the receipt of a fee based upon administrative cost as established by the department pursuant to chapter 1-26.
SDCL 34-25-16.1