  We study properties of the host galaxies of 15 hard X-ray selected type-2
active galactic nuclei (AGNs) at intermediate redshifts (0.05$<z<$0.6) detected
in $ASCA$ surveys. The absorption corrected hard X-ray luminosities $L_{\rm
2-10 keV}$ range from 10$^{42}$ erg s$^{-1}$ to $10^{45}$ erg s$^{-1}$. We took
the $R$-band image of these AGNs with the University of Hawaii 2.2 m telescope.
Thanks to the intrinsic obscuration of nuclear light, we can decompose the
galaxies with a spheroid component and a disk component. The resulting spheroid
luminosities correlate with $L_{\rm 2-10 keV}$; higher (lower) X-ray luminosity
AGNs tend to reside in luminous (less luminous) spheroids. It is also found
that the hosts of luminous AGNs show a large spheroid-to-disk luminosity ratio
($\sim$1), while those of less luminous AGNs spread between 0 and 1. The
correlation between $L_{\rm 2-10keV}$ and spheroid luminosity indicates that
the relation between mass of a supermassive black hole (SMBH) and spheroid
luminosity (BS-relation) at the intermediate redshifts. The BS-relation agrees
with that in the local universe if the Eddington ratio of 0.24 is adopted,
which is a mean value determined from our $ASCA$ type-1 AGN sample at similar
redshifts through the broad-line width and continuum luminosity. The present
study demonstrates the effectiveness of using type-2 AGNs at high redshifts to
study their host properties.
