Abstract: The metamaterial exhibits more and more novel electromagnetic characteristics, such as the electromagnetic cloak, the frequency selective surface, the energy selective surface, and the like. The metamaterial is widely applied to antenna design, electromagnetic protection and other engineering zones. In this paper, the research on the electromagnetic characteristics of mue near zero (MNZ) material is completed by theoretical analysis and numerical simulation method. Considering a two-dimension MNZ structure, the impedance match between MNZ material and air and the continuity of propagation constant is theoretically analyzed, and it is verified with numerical simulation. It turns out that such characteristic can result in forming plane wave. Also, it is found that a good impedance match can be achieved if the electromagnetic wave parallels to the boundary of MNZ material. In that way, the electromagnetic waves can pass through the MNZ material, and some novel radiation characteristics can be obtained.