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We investigate the cosmic censorship hypothesis for the Reissner–Nordström anti-de-Sitter black holes with global monopole charge. Considering the motion of the particle, we find that the overcharging is possible only for the anti-de-Sitter black hole showing violation of the cosmic censorship hypothesis. However, for the de-Sitter black hole, overcharging is not possible and hence there is no violation of the cosmic censorship hypothesis.