The rotation axes of 138 disk galaxies (94 S0, 44 S and Irr) within an area of 2.63 degrees x 2.63 degrees in the Coma cluster have been studied statistically and an anisotropic distribution is revealed. Relative to the isotropic distribution there are more S0 galaxies having their rotation axes parallel to the cluster plane and the projections of the axes on the cluster plane tend to make angles of about 45 degrees with the direction from the cluster center. As to the S and Irr galaxies, their rotation axes tend to be either parallel or perpendicular to the cluster plane and their projections tend to be parallel to the direction fro the center. A morphological dependence of the distribution of rotation axes in Coma is confirmed and there is evidence for a possible luminosity dependence: the distribution for the fainter galaxies appear to be more anisotropic. Our results imply the presence of a preferential plane in Coma and tend to support the "pancake" scenario among the theories of galaxy and cluster formation.