The present disclosure relates to a metamaterial for converging electromagnetic waves, which comprises a plurality of metamaterial sheet layers stacked integrally in an x direction. Each of the metamaterial sheet layers comprises a plurality of metamaterial units. Each of the metamaterial units has an identical substrate unit and a man-made microstructure attached on the substrate unit. The metamaterial units of each row have a same refractive index. Refractive indices of the metamaterial units of each column satisfy particular relationships. The man-made microstructure is a non-90° rotationally symmetrical structure, and an extraordinary optical axis of a refractive index ellipsoid thereof is non-perpendicular to and unparallel to the y direction. The thickness of the metamaterial can be considerably decreased while the function of converging electromagnetic waves is achieved in the present disclosure. This is favorable for making the metamaterial product miniaturized and lightweight.