  In this paper, we investigate the entanglement of multi-partite Grassmannian
coherent states (GCSs) described by Grassmann numbers for $n>2$ degree of
nilpotency. Choosing an appropriate weight function, we show that it is
possible to construct some well-known entangled pure states, consisting of {\bf
GHZ}, {\bf W}, Bell, cluster type and bi-separable states, which are obtained
by integrating over tensor product of GCSs. It is shown that for three level
systems, the Grassmann creation and annihilation operators $b$ and $b^\dag$
together with $b_{z}$ form a closed deformed algebra, i.e., $SU_{q}(2)$ with
$q=e^{\frac{2\pi i}{3}}$, which is useful to construct entangled qutrit-states.
The same argument holds for three level squeezed states. Moreover combining the
Grassmann and bosonic coherent states we construct maximal entangled super
coherent states.
