Place strawberries and small mint sprigs in a 5-cup ring mold. Add enough water to cover fruit, allowing some fruit to extend above water. Freeze until firm, at least 4 hours.
About 10 minutes before serving, in a 5-quart punch bowl large enough to hold ice ring, combine orange juice and lemon juice. Pour in ginger ale.
To serve, unmold ice ring (dip bottom in a large bowl of hot water very briefly to release, if necessary); add to punch, fruit-side up. To serve, ladle punch into cups or glasses.