Improving the design of the medical equipment can lead to safer and more convenient medical procedures. Needles are among the most applicable clinical devices that are frequently used for vaccination and drug delivery as well as brachytherapy, biopsy, and different types of surgeries. Therefore, the investigation of needle-tissue interactions can develop more efficient and controlled apparatus for medical procedures. To design needles and procedures involving needles more efficiently, the investigation of the needle insertion process and the related parameters are key to developing related novel technologies. In this research, a two-dimensional finite element model of deep needle insertion into the human skin is presented. The crack propagation in the tissue is modelled via the cohesive zone method. The model developed in this study can be used for optimizing the procedures involved medical needles, developing new therapeutic solutions, and improving the precision of medical robotic systems.