We obtain the enhanced stimulated Brillouin scattering (SBS) by adding the optimized Bragg grating to an As2S3 chalcogenide half suspended-core rectangle waveguide. The half suspended-core waveguide grating is characterized by the period of 344.67 nm and the refractive index modulation depth of 0.000 1. Through simulation experiments, the obtained Brillouin gain is 58.5 dB and the 3 dB bandwidth can reduce to 7.8 MHz. The half suspended-core waveguide structure can decrease the size of the chip while the periodic structure can enhance the slow light effect, so we have improved the integration of the waveguide and enhanced SBS by combining these two advantages.