Copper sulfides (CuxS) are widely used as the promising electrode materials for secondary batteries because of the rich abundance, low cost, excellent capacity (similar to 337/560 mA h/g for Cu2S/CuS) as well as favorable electrical conductivity (10(-3) S/cm). Moreover, nanostructure designing and compounding with other conductive materials can enhance the electrochemical performance of CuxS. In this review, the upto-date progress in the synthesis method as well as the application for secondary batteries (lithium-ion batteries, lithium-sulfur batteries, sodium-ion batteries, magnesium-ion batteries, and so on) of CuxS and their relevant composites have been discussed detailly. In the end, the challenges, feasible strategies, and application prospects for the CuxS are also summarized. (C) 2021 Elsevier Ltd. All rights reserved.