The third annual catalog of the Tokyo PMC is presented for 5748 stars which had been observed at least two times in the year 1987 period, that is, from January 1, 1987, to December 31, 1987. The positions of the stars given in the catalog are those at the mean epoch of observations. The coordinates of the catalog are referred to the equinox and equator of J2000.0, based on the FK5 system. The mean trends of the observed positions minus FK5 positions for the FK5 basics stars are constructed and compared with those of the Tokyo PMC 86 catalog. The part I of the catalog contains the positions of 1017 FK5 basics (=FK4 stars ), 533 FK4 Suppl. stars, 2421 AGK3R stars, 1167 OB stars, 113 NPZT stars, and 84 SAO stars, and the part II of the catalog contains the positions of 413 SAO stars for occultation studies. These two parts were merged into a single pmc87 file.