Since chalcogenide glasses show advantages of ultra-wide infrared transmittance range and extremely high linear and nonlinear refractive indices, chalcogenide glass fibers become the unique optical fiber host materials for mid-infrared and far-infrared supercontinuum generation. The research progress in infrared supercontinuum generation in conventional step-index chalcogenide glass fibers, chalcogenide microstructured optical fibers and fiber tapers is reviewed.