Abstract: As the important role of special-shaped explosives in practical applications is gradually emerging, adopting a combination of theoretical derivation, explosion test and numerical simulation, this study focuses on the near-ground shock wave power characteristics of curve-edge cylindrical explosives under dual-end initiation conditions. The numerical simulation can simulate the experimental results well at different distances, which verifies the rationality of the finite element model. Explosion numerical simulation of various shape of curve-edge cylindrical explosions are conducted to investigate the influence of shape on the shock wave power characteristics of curve-edge cylindrical charges. The research results indicate that with dual-ends initiation, the detonation waves’ propagation of curve-edge cylindrical explosives conforms to the typical characteristics of dual-ends initiation, and the shock waves’ evolution conforms to the general rule of near ground explosion. The explosive shock wave generated by curve-edge cylindrical charges has a similar wave system structure to that generated by cylindrical charges, but there are differences in specific morphology and propagation characteristics. In the range of 0.6-1.1m/kg1/3, the convex curve-edge cylindrical charge has a larger peak overpressure in the near-field, but the concave one has greater velocity of near ground shock wave, and its peak overpressure is higher than the convex one beyond a certain distance. The shape difference of curve-edge cylindrical explosives significantly affects the flow of detonation products and the evolution of shock waves. As the distance increases, the difference in shock wave characteristics caused by shape gradually decreases. Peak overpressure shape gain factor is introduced to measure the influence of the shape parameter on the distribution of peak overpressure. Binary cubic polynomial that conforms to the explosion similarity law is introduced to fit the change status of peak overpressure and peak overpressure shape gain factor as function of shape parameter and scaled distance. The deviation between the calculated results and simulated results is less than 20%. The results have certain reference value for designing atypical geometric shape charges and power characteristics evaluating of warheads.