Single rare earth fluoride crystal of BaY2F8 was grown by Czochralski method. The crystallization habit of BaY2F8 and the crystal growth technique, including temperature gradient, rotation and pulling rates, were investigated.The effects of growth parameters on the crystal quality were studied. Crystal growth procedure was optimized as the temperature gradient of 15 ～ 25 ℃ ·cm -1 , the rotation rate of 15 ～ 20 r ·min -1 and the pulling rate of 1.0 mm · h-1.The X-ray diffraction and the transparent spectrum of BaY2F8 crystal were measured and reported.