The 2 μm band belongs to the human eye band and has an atmospheric communication window. The research on this band is an area that needs to be developed urgently in the future optical communication system. Compared with quartz glass, soft glass material has a wider light transmission range and can be extended to the mid-infrared band, which is suitable for the 2 μm band optical communication system. A multi-core hollow-core photonic band-gap optical fiber is designed. The characteristics of different modes such as mode area, confinement loss and bending loss are simulated and analyzed. The optimum wavelength for single and multiple mode laser transmission in 2 μm band is given by comprehensive analysis.