Abstract: To establish a two-dimensional parameterized aggregate model for concrete simulation, we propose one method, which is based on the characteristics of the parameterized aggregate, such that the coverage ellipses can be overlapped while the corresponding aggregates are separated from each other. This method reduces the mutual repulsion between different aggregates. Therefore, the specimen generated with the proposed method have narrower gap between different aggregates and contain more content of aggregates. Furthermore, the computation speed for generating the model is also improved. Meanwhile, the aggregates are put in randomly in each grading with different gradations, which guarantees the rationality of the aggregates distribution in the specimen. Numerical experiments show that, with this method, the geometrical model of specimen with the property that the aggregates content is up to 75% according to three gradations can be generated in a relatively short time. Thusly, this method can be used to simulate aggregates putting-in model to generate concretes which are in a great mass, fully-graded and high-strength. Finally, the mechanical analysis of examples is given to illustrate the effectiveness of the proposed method.