  In this paper, by presenting the potentials of Kaluza-Klein (KK) modes in the
corresponding Schr\"{o}dinger equations, we investigate the localization and
resonances of gravity and fermion on the symmetric and asymmetric Bloch
{branes}. We find that the localization properties of zero modes for gravity
and fermion in the symmetric brane case are the same, whereas, for the
asymmetric brane case, the fermion zero mode is localized on one of the
sub-branes, while the gravity zero mode is localized on another sub-brane. The
spectra of the gravity and the left- or right-handed fermion are composed of a
bound zero mode and a series of gapless continuous massive KK modes. Among the
continuous massive KK modes, we obtain some discrete gravity and fermion
resonant (quasilocalized) KK states on the brane, which have a finite
probability of escaping into the bulk. The KK states with lower resonant masses
have a longer lifetime on the brane. And the number of the resonant KK states
increases linearly with the width of the brane and the scalar-fermion coupling
constant, {but it decreases with the asymmetric factor $\beta$}. The structure
of the resonance spectrum is investigated in detail.
