  We study the Einstein static universe in the framework of Generalized
Uncertainty Principle constructed by the Snyder non-commutative space. It is
shown that the deformation parameter can induce an effective energy density
subject to GUP which obeys the holographic principle (HP) and plays the role of
a cosmological constant. Using the holographic feature of this effective energy
density, we introduce natural IR and UV cut-offs which depend on the GUP based
effective equation of state. Moreover, we propose a solution to the
cosmological constant problem. This solution is based on the result that the
Einstein equations just couple to the tiny holographic based surface energy
density (cosmological constant) induced by the deformation parameter, rather
than the large quantum gravitational based volume energy density (vacuum
energy) having contributions of order $M_P^4$.
