Thanks to the advantage of peridynamic theory, the damage, fracture, and long-range forces can be treated in function of deformation of studied material. The present work consists to presenter a numerical investigation of shrinkage induced micro-cracking of concrete by using the peridynamic theory. In view of this, the numerical model of studied concrete, with a regular aggregate arrangements, are firstly established. In order to study the influence of the aggregate diameter and the volume fraction, a series of parametric studied have been performed. Moreover, the mesh dependence on the shrinkage induced micro-cracking is analyzed. Based on the previous results, a new concrete model with random aggregate arrangements is obtained. Finally, the numerical prediction will be compared with the experimental investigation.