Surface distributions of galaxies in the Coma cluster are determined for three limiting magnitudes. A core radius is obtained for each of the distributions from a fit to an isothermal gas-sphere model. No large effect of mass segregation is observed, although a slight'segregation (corresponding to less than 20 percent in core radii) could exist. The density distribution agrees well with Ruddy's luminosity distribution in the cluster; therefore, galaxies and total light are distributed in the same way throughout the central region of the cluster. An anisotropy in the bright galaxy distribution is found, indicating a higher density of bright galaxies in the E-W direction as compared with the N-S direction; the region of anisotropy also contains extended X-ray and radio sources. Subject heading: galaxies, clusters of