An insufficiency of a shock pressure in the materials processing [1] using the high explosive, has been remored by converging the shock wave. However, in the present material science field, the development of the device that generates ultra-high pressure is required. Therefore we have paid attention to the overdriven detonation phenomenon in the high explosive. The detonation pressure and velocity at the overdriven detonation state are higher than that of the Chapman-Jouguet state. For example the overdriven detonation can be caused, when the flyer plate collides with explosive and detonation is urged by the shock energy. However, it is difficult to apply this method to the dynamic consolidation of powder since the region where the overdriven detonation is generated is very small. Therefore, as a new method of generating the overdriven detonation effectively, the double cylindrical high explosive using the two kinds explosive was developed. The concentric double cylindrical high explosive was composed of a high velocity explosive and a low velocity explosive, and the overdriven detonation was caused in the low velocity explosive. The detonation velocity was measured by using the optical fibers. The detonation pressure was also measured by setting up a manganin gauge (Kyowa Electric Instrument Co., Ltd.,) at the position where the generation of the overdriven detonation phenomenon was expected. Furthermore the detailed propagation process of the detonation wave was calculated by the numerical analysis.