Cs2LiLaBr6∶Ce(CLLB∶Ce)crystal has excellent neutron-gamma dual readout performance, while its application bottleneck is to grow single crystals with large size and high optical quality. In this study, non-stoichiometric ratio was used to avoid the phase region of in-congruent CLLB∶Ce. By improved Bridgman furnace, optimizing the temperature field and reducing the lowering speed, the constitutional supercooling was overcame and the stability of the growth interface was maintained during the crystal growth process. 1-inch diameter CLLB∶Ce crystal ingot was obtained, the length of the equal diameter transparent part is 40 mm, the proportion of single crystal increases from 52% to 79%, and the optical transmittance in the visible light region is above 70%. The energy resolution of CLLB∶Ce is about 3.7% under 137Cs excitation while the Figure-of-Merit of CLLB∶Ce is about 1.42 under 252Cf excitation. This shows good properties for discriminating gamma-ray and neutron.