Purpose. The main goal of this paper is to develop the numerical model of viscoelastic material using finite element method (FEM). The model was applied to asphalt-aggregate mixtures. Additionally the obtained numerical results with use of different FEM software were compared with experimental data. Methodology. In order to perform the investigation, the numerical specimen was built within FEM software. Material of the specimen was assumed to be viscoelastic. Viscoelastic materials are characterized by a combination of elastic behavior, which stores energy during deformation, and viscous behavior, which dissipates energy during deformation. It was assumed that the behavior of the material corresponds to generalized Maxwell model. The model consists of a spring element in parallel with a number of spring and dashpot Maxwell elements. Generalized Maxwell model consisting of 5 elements was offered at . Mechanical properties of the material correspond to the properties of real asphaltic material. Findings. As the result of calculations the stress and strain state of the asphalt specimen were obtained. To compare mechanical characteristics of the model with experimental data the dynamic elastic modulus and phase angle values were calculated. Originality. Viscoelastic material model based on generalized Maxwell scheme was developed using ANSYS software. In order to compare the numerical model of the material with real asphalt-aggregate mix data, the values of dynamic modulus and phase angle were selected. Analyzing the results of calculations one can see good correspondence of numerical material model to experimental data. Moreover, the numerical data obtained with ANSYS and LS-DYNA software were compared. Practical value. It should be emphasized that FEM gives the possibility of determining stresses and strains for asphalt pavement non-elastic models what is of great importance using mechanistic design procedures.