The work presented is related to determination of effective mechanical properties of a PRMMCs (particle reinforced metal matrix composites) composite. Such composites, because of their specific wear resistance (high-temperature work capability) and high strength properties compared to mass, are often used in many devices in industry and agriculture. The mechanical properties of the PRMMCs can be determined based on experimental research. However, since the volume fraction of the reinforcement and its geometry significantly affect the resulting mechanical properties of the composite, determining them through experimental research would require a lot of work and would involve high costs. So, there is a legitimate need to develop alternative methods. In the literature, one can find analytical models enabling the determination of limit values of such parameters as elastic moduli or Poisson's ratio. The authors usually assume a uniform distribution of reinforcement particles and do not take into account the effect of their size on the effective mechanical properties. An alternative method of homogenizing the properties of heterogeneous materials may be an approach based on the use of numerical methods. Therefore, the article presents a methodology for determining the effective mechanical properties of PRMMCs using the finite element method (FEM). The developed method enables determination of Young's modulus, Poisson's ratio and density of composite, taking into account the impact of the random distribution of reinforcement particles, as well as their size and volume fraction. To verify the proposed approach, effective mechanical properties have been determined for a frequently used materialparticle -reinforced aluminium matrix composite (PRAMCs). The results obtained were compared with the literature data. The investigations show satisfactory compliance of the obtained results with both experimental data and analytical solution.