The study investigated the self employment capabilities of tertiary institution graduates who are government employed, expatriate employed, self employed and unemployed. One thousand two-hundred and twenty (1220) purposively selected tertiary institution graduates were used in the study. Of this number, 196 were self employed, 625 government employed, 177 expatriate employed and 231 unemployed. The Self Employment Characteristic Rating Questionnaire (SECRQ) developed by the National Directorate of Employment in 1985 was used to measure the self employment capabilities of sample. t-test statistics was used to analyse data collected for the study. The result indicated significant differences existed in self employing or private sector employing capabilities of government employed, expatriate employed, and unemployed tertiary institution graduates. The study concluded by recommending private sector than government sector domination of self employing opportunities.