Due to the ultra-wide range of infrared transmittance spectra and extremely high linear and nonlinear refractive index of chalcogenide glasses, chalcogenide fibers have become the only optical fiber host materials for mid-infrared and far-infrared supercontinuum (SC) spectrum generation. A series of important progresses has been made in the past three years. In this paper, the latest research progress of chalcogenide glasses is reviewed from several aspects such as mid-infrared SC spectrum generation and spectrum coherence of step-index, microstructured, and tapered chalcogenide fibers,and the all-fiber SC sources.