Soft glass fibers have been widely applied in generation of mid-infrared supercontinuum, and have become a research focus. This article reviews the research progress of mid-infrared supercontinuum in fluoride fibers, tellurite fibers and chalcogenide glass fibers. The highest power of mid-infrared supercontinuum has been achieved in the fluoride glass fiber; tellurite glass fibers (in particular, microstructured) are widely applied in the mid-infrared supercontinuum; and chalcogenide glass fibers have been found to possess the broadest mid-infrared supercontinuum.