A void interaction mechanism based on the diffusion exchange of point defects is studied for a system of N-voids. In the absence of additional sinks for point defects, an expression is derived for the growth rate of a void, taking into account the influence of the other voids on its growth. It is shown that the average size of the interacting voids is constant while the dispersion of void size distribution increases with the characteristic time close to the growth rate of noninteracting voids at the coalescence state. This quantity determines the incubation time of the lattice under annealing.