An improved Czochralski method with the alternate rotation of a seed crystal was developed in order to homogenise impurities doped in InSb single crystals. When the crystal was pulled under one-directional rotation, the fluctuation width of the growth rate increased as the crystal periphery was approached from the centre, and rotational striations were formed. Under alternative rotation of the angle range of 18 degrees and 90 degrees , the fluctuation width of the growth rate was decreased to 15 and 70% in comparison with that of the one-directional rotation, respectively. The fluctuation of the growth rate then became small as the angle of alternate rotation became narrow. Thus, in a crystal pulled under 18 degrees alternate rotation, rotational striations were excluded and moreover the fluctuation of spreading resistance was also decreased from 22 to 15 Omega .