Chalcogenide glasses have a very wide range of infrared transmittance, extremely high linear and nonlinear refractive index. Recently, infrared supercontinuum (SC) generation in chalcogenide glass fibers attracts extensive attentions for its potential applications in sensing, security and defense. In this article, the research progress of infrared SC generation in chalcogenide glass fibers is reviewed, including the SC generation of chalcogenide tapered fiber and microstructured fibers, and the new fiber structure design for SC generation. Moreover, current problems in exploring SC generation are summarized, and their potential applications are discussed.