Finite element (FE) model which can be used to investigate accumulated damage of the reinforced concrete (RC) slabs under cyclic blast loading is proposed. Firstly, accuracy of the FE model is verified through an experiment. Secondly, effects of the explosive inclination angle, standoff distance, and the explosive mass on the dynamic response of RC slabs are studied. At last, accumulated damage of the reinforced concrete (RC) slabs under cyclic blast loading is presented using the FE model. It is indicated that parameters of the explosive inclination angle, the scale distance, and the explosive mass have strong influences on the dynamic behavior of RC slabs. Under cyclic blast loading with small explosive charge, damage of the RC slab mainly appears in the first blast cycle. Displacement of the RC slab, axial force and strain of the rebars increase remarkably, which could be the mainly reason that damage evolution of the RC slab is not obvious, in the second blast cycle.