Dielectric relaxations of HCl- and KOH-highly-doped ice were examined in detail in a wide temperature range. In HCl-doped ice at low temperatures, a relaxation component having a tendency of divergence in the dispersion strength at about 100 K was observed with the activation energy of 0.32 eV, which agreed well with the slow relaxation component in the KOH-doped ice. These are recognized with the component excited by the lattice effect. Detail measurements of the relaxation in KOH-doping revealed (1) freezing of the slow relaxation component and (2) an anomaly which makes a partial phase transition at about 110 K. Using these phenomena, inhomogeneous phases below 72 K in the KOH-doped ice are discussed.