S.D. Codified Laws § 15-6-62(b)
Current with legislation signed by the governor on or before 3/6/2024
In its discretion and on such conditions for the security of the adverse party as are proper, the court may stay the execution of or any proceedings to enforce a judgment pending the disposition of a motion for a new trial made pursuant to § 15-6-59, or of a motion for relief from a judgment or order made pursuant to § 15-6-60, or of a motion for judgment in accordance with a motion for a directed verdict made pursuant to § 15-6-50.
SDCL 15-6-62(b)