This thesis deals with numerical modeling of low velocity induced impact damage in honeycomb sandwich structures. The finite element modeling was performed employing two methods. The first method uses homogenization technique (the honeycomb core is modeled as a homogenized body), while the second model of honeycomb core represents the actual geometry. The investigated sandwich panel consists of a carbon fibre reinforced composite as facesheets and NOMEX honeycomb core. In the first, introductory section, the review of available literature is presented. In addition, the basics of mechanics of composite materials are presented, as well as the fundamental analytical equations for analysis of sandwich structures. Furthermore, FE impact damage models of core and facesheets are presented and the appropriate constitutive material model is elaborated. The finite element modeling begins with the description of numerical models for aforementioned modeling techniques of a honeycomb core. The numerical results for linear elastic bending are compared with reference theoretical data and relation between stiffness of homogenized and honeycomb model is presented. Moreover, the course of creating numerical impact damage models is shown, as well as a number of velocity and impact angle variations. The results of conducted analyses are presented in terms of time-dependent contact force during impact. Additionally, the contact force - time results dependent on the velocity and impact angle variations are shown. Finally, the obtained results are compared to the available experimental data, which enables the validation of both modeling techniques.