We suggest using a Poisson model to study the number of homicides, starting from the covariates etary group, gender, and weapon type. In order to illustrate the model utilization, we used as sources some databases made up by the research institute CISALVA in Cali corresponding to the years 2007 and 2008. Based on this methodology, more suitable for these data type, our results allow us to confirm some previous findings such as that male between 20 and 30 years of age are much more exposed than other groups, and that the most probable cause of death would be due to a fire weapon.