Mercury emission has become a global concern due to the potential risks Hg poses to human health and the environment. Currently, copper-based compounds, such as CuCl 2 , CuO, CuS, and CuSe, have attracted great attention in mercury emission control, because of their low cost and decent removal efficiency. This review provides an overview of the recent progress on adsorptive and catalytic oxidation removal of elemental mercury over copper-based composites. Supported CuCl 2 can majorly serve as an inexpensive and efficient catalyst toward Hg 0 oxidation. Nevertheless, the high volatility and water solubility of mercury chloride may cause halogen release and a potential leaching risk of mercury, respectively. Due to its superior redox property, CuO is fairly active in Hg 0 oxidation. Metal incorporation can distinctly strengthen the mercury removal performance. However, CuO-based composites can be easily poisoned or suppressed by flue gas constituents owing to the generation of inactive copper sulfates/nitrates or competitive adsorption. CuS-based composites appear to be the most promising sorbents for mercury capture, because of strong Hg 0 affinities and remarkable tolerances to steam and sulfur dioxide. CuSe-based composites show mercury capture performances similar to those of CuS-based composites. However, tedious synthetic processes and expensive Se precursors hinder their industrial implementation.