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The mechanism of an Intergranular crack propagation in magnesium was studied using molecular dynamics simulation.The〈 12T0〉 {10I2} twin which was contained in present work is a typical twinning in magnesium especially occurring when a tension is applied to the model.The Center Intergranular Crack (CIC) specimen and the Edge Intergranular Crack (EIC) specimen were employed to investigate the influence of the temperature and strain rate on crack growth in magnesium.Considering the great effect of twinning boundary, the propagation of crack has much difference from the situation in a single crystal.