For two phases having a simple orientation relationship, some of the reciprocal points coincide in the reciprocal space. The electron diffraction pattern corresponding to the reciprocal planes consisting of common reciprocal points only will superpose on the matrix spots. In this paper, a simple method is established to identify the indices of zone axis which give the second phase electron diffraction pattern superimposed on the matrix spots. The method is applied to examine the cases of the overlapping of cubic matrix pattern with that of the twin crystal, the hexagonal close packed structure, the hexagonal ω-phase, etc.