Abstract: The study investigated the relationship of extroversion neurotisum and psychoticism of inmates in Nigeria Prisons. The research design was a correlational study in finding relationship of personality dimensions. Eysenck Personality Questionnaire (EPQ) was used to elicit information from the inmates. The instrument was validated by Eysenck and found to be reliable while the reliability coefficient was quite favourable and of equal standard with other similar tests. The samples were made up of 504 inmates, randomly selected in seven prisons in Nigeria. The result of the finding showed that there was a significant relationship between the pairs of extroversion and neuroticism extroversion and psychoticism neuroticism and psychoticism. There was highest coefficient of 7622 on psychoticism among the personality traits: Psychoticism, neuroticism and extroversion with neuroticism and extroversion having coefficients 6634 and 0.5630, respectively.