This paper presents morphological type , membership , and U - V color for a sample of galaxies in the Coma cluster direction , complete down to M _ { B } = -15.00 mag and extending down to M _ { B } = -14.25 mag . We have examined 1155 objects from the GMP 1983 catalog on B and V images of the CFH12K camera , and obtained the Hubble type in most cases . Coma cluster membership for 473 galaxies was derived using morphology , apparent size , and surface brightness , and , afterward , redshift . The comparison among morphology- and redshift- memberships and among luminosity functions derived from this morphologically-selected sample , or by using statistical members or spectroscopic members , all show that the morphological membership provided here can be trusted . For the first time , the morphological classification of Coma galaxies reaches magnitudes that are faint enough to observe the whole magnitude range of the giant types , E , S0 , and spiral stages . The data presented in this paper makes our sample the richest environment where membership and morphology for complete samples down to faint magnitudes ( M _ { B } \sim - 15 mag ) are available , thereby enlarging the baseline of environmental studies .