  We revisit the 1/2-BPS D-branes on the AdS$_5\times$S$^5$ background. Based
only on the classification of 1/2-BPS D-branes obtained by the covariant open
string description, we consider various purely static configurations of
D-branes without any worldvolume flux on the AdS$_5\times$S$^5$ background.
Under the covariant $\kappa$ symmetry fixing condition, we investigate which
part the spacetime supersymmetries is preserved on the D-brane worldvolume and
obtain the associated worldvolume supersymmetry transformation rules to leading
order in the worldvolume fluctuating fields. It is shown that, for purely
static configurations without any worldvolume flux, only the AdS type D-branes,
in which the AdS radial direction is one of worldvolume coordinates, are
1/2-BPS.
