BaO-Al2O3-SiO2(BAS) glass-ceramics with stoichiometric and off-stoichiometric celsian composition were fabricated. Crystallization characters of two groups of BaO-Al2O3-SiO2 (BAS) glass-ceramics were investigated by differential scanning calorimetry (DSC), X-ray diffraction (XRD), iso-conversional method and multiple linear regression method. The autocatalytic kinetic model (Sestak-Berggren function) was found to be the most proper description of the studied processes for all glass investigated. Doping with ZrO2 or increasing mass fraction of BaO accelerates the crystallization process of hexagonal-BaAl2Si2O8 in BAS glass-ceramics with stoichiometric celsian composition whose viscosity is high. Moreover, the lower the temperature gets, or the higher the crystallinity gets, the more obvious the accelerating effect gets. While doping with ZrO2 decelerates the crystallization process of hexagonal-BaAl2Si2O8 in BAS glass-ceramics with off-stoichiometric celsian composition whose viscosity is low. Moreover, the higher the temperature gets, the more obvious the decelerating effect gets.