  The three-tangle-dependence of $S_{max} = \max <S>$, where $S$ is Svetlichny
operator, are explicitly derived when one party moves with an uniform
acceleration with respect to other parties in the generalized
Greenberger-Horne-Zeilinger and maximally slice states. The
$\pi$-tangle-dependence of $S_{max}$ are also derived implicitly. From the
dependence we conjecture that the multipartite entanglement is not the only
physical resource for quantum mechanical multipartite non-locality.
