The three-dimensional random aggregate concrete model is usually considered as a three-phase composite materials which are composed of aggregates, cement matrix and the interface layers. A hybrid realization method is proposed in order to rapidly obtain the concrete aggregate models with high volume fraction of spherical particles by combining Fortran and ANSYS software. The corresponding ellipsoid aggregate (pebble) model, the convex polyhedral aggregate (gravel) model and the mixed model with different shape aggregates are also generated. The results of several examples show that the relevant data of three-graded concrete model with spherical aggregate particles can be obtained rapidly and the corresponding aggregate content can reach about 65%. The hybrid realization method can easily separate the aggregate particles from the interface layers and thus the complex element attribute discrimination can be avoided in the finite element mesh. Finally, the validity of the proposed hybrid method is further verified by finite element numerical simulation for the ellipsoidal aggregate model and the convex polyhedral aggregate model.