Self-atom polarizability were calculated for 17 polycyclic aromatic hydrocarbons and their metabolites by LCAO-MO method and examined the relation with the carcinogenicity. It has been found that ${pi}_{1.2.4}$, the sum of self-atom polarizability of 1, 2 and 4 positions forming trans-butadiene frame in a compound, agree quite well with the observed carcinogenic activity, and also, ${pi}_{1.2.4}$ value increase with the metabolic activiting in agreement with the experimental facts that parent carcinogens activated with metabolism. Accordingly, we suggest that the 1, 2 and 4 positions in the carcinogenic compounds play the most important role in the process of chemical carcinogenesis, and also self-atom polarizability, as one of theoretical reactivity indices, is to be used as a measure of carcinogenic activity.