The Nd 3+ doped LaAlO 3 crystal is a good candidate of a polarized 139 La target for the search of the P-odd and T-odd interaction in the low-energy neutron absorption of 139 La. As the first step for realizing the polarized 139 La target, we grow the undoped LaAlO 3 crystal and the La 1−x Nd x AlO 3 (x = 5 × 10 −4) crystal by floating-zone method with four halogen lamps. The ESR measurements of Nd 3+ in the latter crystal indicated that the linewidth was about 6 gauss, whose value is the same as the crystal in which 50 % 139 La polarization was achieved in the previous DNP experiment. As the result, the crystals grown by this method can be applicable to the target study for the T-violation search.