Automobile accidents are the main cause of death in this country. Among this, In 70% of the cases the head undergoes injury. Approximately 400,000 to 500,000 people per year are dying due to head injury alone, and this number is increasing every year with a constant rate. An attempt has been made to understand the head injury by mathematical and computer modeling. Once the human skull was modeled on a workstation head injury mechanism has been studied by subjecting it through finite element analysis. Different types of material models are considered going from simple axisymmetric model to complex 3 material viscoelastic material models with and without head-neck joint. Different types of boundary conditions and load functions are applied for these models. These models are studied for the dynamic response for different types of impacts like side, frontal and jaw impacts. Static, Dynamic and modal analysis are performed on these models to understand the stress distribution across the human skull. An automobile chassis crash has been simulated to validate the load applied in the analysis. A head injury tolerance criterion has been designed based on the results and suitable energy absorbing methods are suggested.