AGNs with hard \gamma -ray emission identified so far are radio-loud . III Zw 2 is a radio intermediate AGN with a relativistic jet . We study its spectral energy distribution ( SED ) and find that the broad band emissions are dominated by the non-thermal emissions from the jet . We model its SED through a synchrotron + inverse Compton ( IC ) model . The results show that the IC component of III Zw 2 peaks at a few MeV , and the flux density drops rapidly at higher energy with photon index \Gamma \approx 3.3 above 0.1 GeV . The predicted flux is slightly over the sensitivity of Fermi /LAT , but it is not included in the first Fermi /LAT AGN catalog . The reason for this may be : 1 ) that the IC peak is low and the spectrum is very steep above 0.1 GeV , 2 ) that III Zw 2 is in the low state during the period of the Fermi /LAT operation . We also find that III Zw 2 follows similar jet processes as those in \gamma -ray AGNs , e.g. , the relation between jet power and radiation power , called the blazar sequence . We suggest that III Zw 2 may be a young source at an earlier stage of jet activity .