Discrete element method (DEM) has been employed to construct a three-dimensional particle densely packed model to represent the carbon-epoxy lamina. The packed particles were bonded together through parallel bond which can be viewed as a kind of glue with finite size. Through changing the particles and parallel bonds' properties, different mechanical characters of the model can be achieved. Both the anisotropic elastic behavior of the fibres and the isotropic elastic behavior of the matrices were calibrated firstly through respective uni-axial compressive test by DEM. Then these input parameters were used in the later lamina test. It was found that the material properties of the individual fibre and matrix materials obtained from DEM simulations agree very well with the experimental measurements. The comparisons for the laminate are not satisfactory at the moment. Problems have been identified in the model, including that shear contacts between particles were not properly calibrated and the contact properties between particles with different materials were not calibrated. In the current model, a rigid contact was assumed.