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In this paper, the chromatic dispersion of the As₂S₃ three-bridge suspended-core fiber (SCF) is numerically investigated. All the cross-section parameters, including the thickness of the bridges and the internal circle and external circle diameter of the air hole, have been considering in the simulation of the SCFs by means of the full-vectorial finite-element method in detail. Eighty three models with different structural parameters are established, and the changes of the chromatic dispersion and zero-dispersion wavelength (ZDW) of the fundamental mode in the wavelength ranging from 0.6 to 11.6 μm are evaluated. The relations between the dispersion and structural parameters are obtained by numerical simulations. Numerical results indicate that a proper design of the bridges and air holes can significantly change the dispersion properties of the SCF. A SCF with dual-ZDW (1.805 & 5.315 μm), highly nonlinearity (3.480683 m^-1W^-1), and flattened chromatic dispersion (<;17.70133 ps/(km· nm)), which can be used to generate broadband supercontinuum, is obtained by optimizing the structural parameters.