The Brillouin characteristics of step-index Ge-As-Se-Te (GAST) fibers at 2 μm are designed and simulated on the basis of optical and acoustic properties. The refractive indexes of Ge20As20Se45Te15 and Ge20As20Se43Te17 glasses as fiber core and cladding are 3.20 and 3.18 at 2 μm, the acoustic velocity are 2200 m/s and 2300 m/s, respectively. Numerical results indicate that the stimulated Brillouin scattering (SBS) efficiency is 248 m-1.W-1 and the Brillouin threshold power is 66 mW when the core diameter of the 2-m-long GAST fiber is 4 μm at 2-μm wavelength. The optic-acoustic coupling factor, the Brillouin frequency shift and the Brillouin gain coefficient, is 0.98, 7.02 GHz and 3.81×10-9 m/W, respectively. The SBS effect of GAST fibers simulated for the first time provides a new promising approach for the selection of gain medium based on 2-μm-wavelength fiber laser.