The chalcogenide glasses are considered as a kind of good candidate for their characteristics of higher linearity and nonlinearity. Compared to common silica fibers and step- index chalcogenide glasses fibers, chalcogenide suspended-core fibers have better qualities in wider infrared transmitting, ultra-higher nonlinearity functioning and dispersion tailoring, so that it can be used in infrared laser spectrum broaden, chemical and biologic sensing popularly. First, the reviews are given for the developments of chalcogenide glasses fiber and laser supercontinuum generation; then, a few meters of four- hole suspended- core fibers are fabricated by a novel extrusion method which need only purified bulk chalcogenide glass for preparation. Here, the glasses thermal stability and tailored fibers geometry can be protected finely thanks to the novel extrusion method. In addition, the optical properties of glasses and fibers also are measured detailedly. With the help of optical spectra analysis, the visible and infrared transmitting of As₂S₃ samples, optical loss spectrum and light transmission spot diagrams in the fibers are discussed, respectively. A low-loss (0.17 dB/m at a wavelength of 3.8 μm) chalcogenide suspended-core fiber with a core diameter of 5.6 μm is obtained, and their supercontinuum generations are achieved under the pump of infrared optical parametric amplification(OPA) laser, the widest broadened spectrum in infrared region can be achieved up to 3000 nm (from 1500 to 4500 nm), and the value can be increased up to 6000 nm in theory with a more widen spectroscopic detector.