The VENoL analytical model was developed to reproduce the nonlinear viscoelastic behaviour of asphalt concrete in dynamic analysis. In this paper, it is integrated as a contact law in a 2D model using the Discrete Element Method. The commercial software PFC version 5 from Itasca is used to apply the method. The asphalt is modelled on a macroscopic scale. The VENoL model is applied in the numerical code without any recalibration of its analytical parameters. Particular care is taken to model the Poisson's ratio, whose value depends on the test conditions. This integration is checked by comparing, for complex modulus tests in direct tension-compression, the results obtained for the numerical model with those extracted from the literature. The results show that with a single set of parameters, it is possible to model the effects of frequency and temperature. Despite the use of a macroscopic scale, the model is also able to model porosity effects through the mechanisms of DEM.