The effect of the interaction between crack-tip slip band and grain boundary on plasticity induced crack closure was analyzed. On the basis of the method proposed by Budiansky and Hutchinson, the crack opening stress and the crack opening displacement were calculated for the constant and proportional residual stretch models in which the residual stretch was assumed to be constant and proportional along the crack surfaces, respectively. The crack opening stress and the crack opening displacement range decreased with increasing crack length. Then the simulation method developed by Newman was applied to crack growth. The crack opening stress increased with increasing crack length. The distribution of the residual stretch was geometrically similar to the change of the maximum crack opening displacement with crack length. The relation between the crack opening displacement range and the effective stress intensity range was almost unique irrespective of applied stress and boundary condition.