Stress wave propagation in an elastic/viscoplastic space containing two spherical cavities is analyzed numerically by the method of direct integration of the governing equations in bipolar coordinates, when axisymmetric dynamic loads are applied to the boundary of one side of the cavities. By obtaining the numerical results, stress distributions on the boundary of the other side of the cavities, displacement of the contour of the cavity, and the plastic wave fronts in the space are presented. The effect of the distance between two cavity are also demonstrated.