Radical environmental models (from sociology and from psychology) like that endogenous psychological models are considered of a low value in the scientific analysis of criminal behaviour. The concepts of (a) psychopathy and of the personality disorders are revised in order to achieve a psychological and psychopathological picture of criminal behaviour; and (b) the main tasks and possibilities of the psychologist in the justice system are also revised. Both concepts and the tasks revised have some serious problems for an accuracy description, explanation and psychological interventions in criminal behaviour. One different line of research is proposed, from the parameter model, based on the motivational-contextual factors of personality and the interpersonal skills, interpreted as dimensions capable of be trained, inclusive in institutions for criminal people. Some implications on the future of violence people in contemporary society are remembered and a possible forecast on the relative frequency of criminal behaviour among young people in the next future is proposed.