Ne analyzed six bright low-luminosity AGNs observed by the X-ray satellite ASCA, and discovered that low-luminosity AGNs are harbors of super massive black holes with M-BH > 5 x 10(6)M(.), where MBH is black hole mass. Since the estimated mass accretion rates (hereafter (M) over dot) were too small to create such super massive black holes, the (M) over dot in the past were probably larger than those at present. These galaxies would be candidates of QSO remnants.