The invention discloses a stamping die of a shell. A shell blank is horizontally put on the upper surface of a die bottom block, is positioned and heated to be softened, an upper die stamps downwards, a stamping head drives the die bottom block to move downwards firstly, when the die bottom block is in contact with a die wall bottom plate, the die bottom block is just fitted and spliced with a die wall block so as to form a complete concave die, the stamping head is propped against a first layer and a second layer to move downwards continuously, then a first spring and a second spring are compressed, a turnup edge is formed on the shell blank, when the first layer and the second layer descend to a certain extent, the die wall bottom plate pushes a die frame bottom plate to drive a die frame block to move downwards along a vertical block, the die frame block drives a sliding block to move downwards relying on an inclined block, at the same time the sliding block moves inwards through a sliding track based on the horizontal inward thrust of the inclined block, when a small neck part corresponds to the sliding block, the sliding block props the turnup edge of the shell blank into the small neck part against a step part between the end and the small neck part, thereby forming an inverted cover edge. The stamping die can smoothly and efficiently form inverted cover edges of shells, and is novel and reasonable in structure and high in practicability.