Abstract: The distribution of state parameters for detonation products behind the wave front, the relationship between the effective explosive volume and cylindrical charge geometry, the state equation of detonation products and the expressions of strong detonation were respectively discussed to analyse the phenomenon on a plane detonation wave changed into a convex wave induced by series-detonation of cylindrical explosives with low and high detonation velocities.The evolved process of a plane detonation wave changed into a convex wave was described by taking series-detonation of 100 mm50 mm TNT and 100 mm50 mm RC cylindrical explosives for example, and the plane area and the lagging time from the center section to the edge of the waveform were predicted. The predicted results is consistent with the measurements.