Electromagnetic metasurfaces, as a class of planar electromagnetic materials consisting of single-layer or multilayer subwavelength artificial micro-structures, can efficiently control the polarization, amplitude and phase of electromagnetic waves in the subwavelength scale. However, confining electromagnetic waves to deep-subwavelength scale generally comes at the cost of a large loss, such as such as radiation loss, Ohmic loss. Interestingly, non-Hermitian physics provides us a new way to transform the disadvantage of loss to a new degree of freedom in metasurface design, paving the way to expanding the functionalities of metasurfaces. In recent years, the extraordinary effects in the non-Hermitian electromagnetic metasurfaces have attracted a lot of attention. In this review, we discuss the perfect absorption, exceptional points and surfaces waves of non-Hermitian electromagnetic metasurfaces, and point out the challenges and potentials of this field.