Infrared photodetector is a device that can transform invisible infrared radiation into electrical signal. It is widely used in many industries. Recent years, graphene has aroused extensive attention among scientists and engineers in optoelectronic fields due to its unique properties such as wide spectral absorption from ultraviolet to far-infrared, ultrahigh carrier mobility at room temperature, good mechanical flexibility and environmental stability. These characteristics make it promising in fabricating ultra-wide spectrum, ultrafast, uncooled, large area array, flexible and long-life photodetectors. The latest research progress in graphene-based infrared photodetectors are reviewed. It mainly includes near-infrared (0.76~1 μm), short-wave infrared (1~3 μm), medium-wave infrared (3~ 5 μm), long-wave infrared (8~12 μm) and ultra-wide spectrum graphene photodetectors.