We theoretically study electric transport in edge-disordered armchair graphene nanoribbons (ED-AGNRs) using an extended Hückel model combined with the non-equilibrium Green's function formulation. We find that ED-AGNRs exhibit the Anderson localization even at the Fermi energy (i.e., charge neutral point) originating from broken chiral symmetry of the system. Moreover, the localization length increases with temperature at low-density edge disorder, whereas it is almost independent of temperature at high-density one.