The justices did not comment Monday in leaving in place lower court rulings against Drakes Bay Oyster Co.
The company operates in the Point Reyes National Seashore. Then-Interior Secretary Ken Salazar declined to renew its lease when it expired in 2012. Salazar said the waters of Drakes Estero should be returned to wilderness status.
Lower courts have allowed the oyster farm to keep operating while the case was pending.
The case is Drakes Bay Oyster Co. v. Jewell, 13-1244.