We investigate the critical properties of the Majority-Vote model (MVM) onedimensional (1D) on directed small-world networks. The MVM is studied by applying the Monte Carlo method. We calculate the critical points, as well as the critical exponent's ratio , and . We find that MVM presents identical exponents to the Ising model one-dimensional on directed Small-World networks (DSW). Our results are in agreement with the Grinstein criterion for models with up and down symmetry on regular lattices