A series of 43 traumatic head impact experiments on non-human primates carried out in the past were simulated with a validated finite element model of the specimens. From these simulations, brain tissue response and head accelerations were extracted. Based on these accelerations, existing global head injury criteria (HIC, BRIC, GAMBIT and RIC) were calculated. Correlation between the local brain tissue mechanical parameters, the global head injury criteria and the injuries scored in the experiments were analyzed. Based on this analysis, global head injury criteria that best correlate with concussion score for saggital impacts were identified and injury risk functions for brain tissue that can be used for human FE models are proposed.