In this thesis, a numerical simulation of the different composite structures in impact loading conditions has been carried out. The introduction fragment presents a short historical preview of how the implementation of composite materials had started in the automotive industry. Further, the main disadvantage of composite structures has been highlighted. Lastly, the hypothesis that could adequately contribute to mastering the main disadvantage has been described. In the second chapter, the characteristics of composite materials, essential for the understanding of the work, have been highlighted. Then, the significant advantages and disadvantages of the mentioned materials in comparison with conventional structural materials have been stated. Also, the historical review of the methods for the impact damage testing in composites has been given. Further, the most common failure modes have been highlighted. Lastly, generally accepted failure criteria have been mentioned. In the third chapter, the used software, i.e. the failure criteria used for the impact loading damage prediction of the tested structures, have been described. Then, the main differences between them have been highlighted and compared using the one shell element test. The fourth chapter includes the description of the numerical models and the choice of the most appropriate material model, considering available experimental results. The fifth chapter has been devoted to the interpretation, i.e. the comparison of the results for different structural shapes and the associated loading conditions. In the final section, a critical review of the analysis is presented. Then, an overview of the application of different material models has been provided. Lastly, a conclusion on the suitability of application of the evaluated material models based on the analysed problem has been given.