Dry ice is a material that has a temperature value of about -78 °C and sublimates under normal conditions. To reduce the sublimation velocity, the external surface of the material is limited by compacting the material in its crushed form. The purpose of this study was to determine the effect of the geometrical parameters of the dry ice compaction die on the value of the maximum stress occurring during compaction and the quality of the pellets obtained. Eight conical-cylindrical dies were tested, each with an output diameter of 16 mm and an overall length of 80 mm. Two parameters were variable: the angle of the conical part (5°, 7.5°, 10° and 15°) and thus its length as well as the die input diameter (20 mm and 28 mm). The tests were carried out on the custom-designed dry ice extrusion stand, where a test machine was used to apply the force. The force required to compact and extrude dry ice through the die channel was recorded and the density of the final product was studied. The results indicated significant differences in the force required for extrusion; when the stresses involved, it can be seen that the stresses decrease as the initial diameter decreases and the angle of inclination of the conical part increases.