  The observable signal of higher-spin particles is rare in current particle
collider experiments. In the meantime, there have no evident constraints on the
spin of the dark matter particles. And thereby it is natural to consider the
possibility that the higher-spin particles behaves as dark matter. In this
work, we investigate the direct detection of (spin-$3/2$) gravitino dark matter
and (spin-$2$) massive KK-graviton dark matter respectively through the
DM-electron scattering. Both the spin-independent (SI) and spin-independent
(SD) interactions of DM are considered. Using the experiment datas of XENON10,
XENON100 and XENON1T, we could give the restriction relation between the DM
mass and cross section. For simplification, we only compute the corss section
at leading order, while merely focus on the (pseudo)scalar mediators. Moreover,
by evaluating and analyzing the form factor of DM, we uncover that if the
mediator is scalar there have no significant signals to distinguish the DM with
spin $3/2,2$ from the one with spin $0,1/2,1$.
