Metamaterial structure has important scientific research value and extensive application prospect in military stealth and camouflage, communication, security and medical imaging owing to the ability of manipulating the phase and propagation mode of electromagnetic wave and acoustic wave precisely. The research is one of the hotspots in the field of international academic and engineering. Generally speaking, the research on metamaterial structure in the world has greatly promoted its development of lightness, broadband, high performance and practicality. However, the interdisciplinary research of manufacturing technology and electromagnetics, acoustics, physics, materials and other disciplines should be further focused. It is necessary to accelerate the exploration of the way of manufacturing metamaterial structure in a large scale, and promote its rapid development towards application. In this paper, the application status of additive manufacturing technology in manufacturing metamaterial structure is summarized, and the research progress of metamaterial structure functional devices is discussed. We also discuss and prospect the future development trend about metamaterial structure.