双曲超材料作为电磁超材料的重要分支，因其独特的近场调控特性成为研究的焦点。双曲超表面作为一种特殊新型的平面超材料，具有双曲色散特性，在理论和应用上也与双曲超材料有诸多相似点。与块体双曲超材料相比，由于纵向维度尺寸的大幅度减小从而将电磁波传播限制在二维平面上，双曲超表面表现出更加优异的性能。本文首先介绍双曲超材料的理论、实现和应用，接着介绍双曲超表面及其潜在应用，最后还指出双曲超材料和超表面在真实条件下的局限，及对应用前景作了展望。

As an important branch of electromagnetic metamaterials, hyperbolic metamaterials become the fo-cus of research for their unique property of controlling near-field waves. Hyperbolic metasurface is a new type of planar metamaterials with hyperbolic dispersion relationship and has many similarities in theory and applications with hyperbolic metamaterial. Compared with the bulk hyperbolic metamaterials, hyperbolic metasurfaces exhib-it more excellent performances because the large reduction in the longitudinal dimension limits the propagation of the electromagnetic waves in the two-dimensional plane. In the first part of this review, we introduce hyperbolic metamaterial with its theory, implementation and applications. The latter part of the review is about hyperbolic metasurfaces and their potential applications. We also point out the restrictions of the hyperbolic metamaterials and metasurfaces and the prospect of future applications.