Nd : YAl3(BO3)4 (NYAB) single crystal has been developed for green laser. In this experiment, we found K2O/3MoO3/0.5B2O3 to be a suitable flux for NYAB crystal growth, and grew NYAB crystal by TSSG method using this flux. By varying the cooling rate of solution, seed orientation, and rotation speed, the effects of these growth conditions on the crystal quality and its morphology were examined. Suitable growth conditiions were a cooling rate slower than 2.4$^{circ}C$/day, the rotation speed of 25~30 rpm, and the <001> seed orienttion. The phases of grown crystal, coexisting and volatile materials were investigated by X-ray diffraction. In addition, the possiblity of laser action was examined by UV analysis.