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We model the effect of the off-axis distance of edge dislocation on the transmission of mixed higher order optical vortex-edge dislocations in atmospheric turbulence. We find that when mixed dislocations beams propagate through atmospheric turbulence, the higher order optical vortex will break down, and the topological charge is conserved in the process; an edge dislocation evolves into a pair of optical vortices with the opposite topological charge. With the increase of the propagation distance, one of the optical vortices that are broken down and one of the optical vortices that are evolved will annihilate. And the bigger the off-axis distance of edge dislocation is, the bigger the annihilation distance of optical vortices is. The results illustrate that as the off-axis distance of edge dislocation increases, the transmission of mixed dislocations propagating through atmospheric turbulence becomes better.