We study the magnetization reversal of single-molecular magnets by a spin-polarized current in the framework of the spinor Boltzmann equation.Because of the spin-orbit coupling,the spin-polarized current will impose a non-zero spin transfer torque on the single-molecular magnets,which will induce the magnetization switching of the latter.Via the s-d exchange interaction between the conducting electrons and single-molecular magnets,we can investigate the magnetization dynamics of single-molecular magnets.We demonstrate the dynamics of the magnetization based on the spin diffusion equation and the Heisenberg-like equation.The results show that when the current is large enough,the magnetization of the single-molecular magnets can be reversed.We also calculate the critical current density required for the magnetization reversal under different anisotropy and external magnetic fields,which is helpful for the corresponding experimental design.