Crystallization kinetics of $Se_{80-x}Te_{20}Sb_x$ (x= 0, 2, 4, 6, 8, 10) glassy compositions have been investigated using differential scanning calorimetry under non-isothermal conditions. The kinetic parameters as activation energy of glass transition and activation energy of crystallization have been determined. It was found a gradual increase of these parameters with increasing the Sb content within the composition, this trend was attributed to the larger atomic weight of Sb in comparison with that of Se. The nucleation and growth morphology have been determined through the theoretical work introduced by Johnson, Mehl and Avrami (JMA model). According to the average values of Avrami indices, $\langle n \rangle$, $Se_{20}Te_{80}$ has volume nucleation, one dimensional growth and the other remaining compositions have volume nucleation, two dimensional growth. These results of Avrami indices were emphasized through an investigation of crystalline phases across thermal treatment using X-rays diffraction.