The electrical properties and the crystal structure were investigated for the ceramic electrolytes based on LiHf2(PO4)3. The conductivity enhanced by the Li2O addition with LiHf2(PO4)3 system and by the increase of x for Li1+xMxHf2-x(PO4)3 (M = Cr, Fe, Sc, In, Lu or Y) systems. The P2(1)/n monoclinic phase transformed to NASICON-type R3cBAR rhombohedral phase at above 1173 K. The activation energy for Li+ ion migration was decreased by the phase transition. The activation energy for bulk component was 0.42 eV for the NASICON-type structure. A maximum conductivity at 298 K is 1.7 x 10(-4) S.cm-1 for the sample of Li1.2Fe0.2Hf1.8(PO4)3.