A supernatural ministry is one that brings deliverance to those that are in need.
..........The whole life of Elijah was marked by the ministry of the supernatural. Sometimes his and other prophets ministries brought judgment on the wicked.
.................At others time they led armies to victory by supernatural wisdom and knowledge. They called fire down from heaven. They healed bitter waters and made them sweet.
No circumstances came up against them that they couldn't master. The elements were compelled to obey them. Waters parted when they spoke. They were miraculous ministries.
..........Those kinds of ministries are re-appearing even now.