Electroactive organic compounds represent one of the most promising electrode materials for the next generation of green and sustainable lithium (sodium) ion batteries (LIBs/SIBs). However, most organic electrode materials are plagued by high solubility in organic electrolytes and poor electrical conductivity, which have severely impeded their practical applications. Among various strategies to improve their electrochemical performance, introducing conductive carbon into organic materials to form composite electrodes offers the possibility to simultaneously solve the two problems. In this paper, we provide an overview of recent development in the design, synthesis, and application of advanced carbon-supported organic electrode materials for LIBs/SIBs. In such systems, organic component mainly contributes to the charge storage, while carbon matrix facilitates the electron transfer and suppresses the dissolution of the active materials. We mainly focus on representative composites with carbon matrix of fibers, nanotubes (CNTs), graphene, and porous structures. We especially highlight the employment of CNTs and graphene as conductive carbon substrates for organic electrode materials due to their high conductivity, huge surface area, and excellent flexibility. The elegant design of organic-carbon composite should promote the practical applications of organic electrode materials for LIBs/SIBs. . This paper is part of the JES Collection of Invited Battery Review Papers.With the continuous increase of the world's energy demand, developing sustainable and versatile energy storage and convention systems naturally becomes one of the most important projects. 1-5 Rechargeable batteries play an important role since they provide the reversible electrochemical energy storage and conversion. 6,7 Among various rechargeable batteries, lithium ion batteries (LIBs) have attracted a great interest. 8-10 After being commercialized by Sony in 1991, LIBs have rapidly dominated the market of portable electronic devices. 11 Recently, LIBs have been demonstrated in other areas such as electric vehicles and smart grids. 12,13 However, current LIBs based on insertion-type inorganic electrode materials have met the bottleneck in energy density. This issue is more serious on the cathode side since the practical capacities of the employed transition-metal oxides or phosphates (e.g. LiCoO 2 , LiFePO 4 ) cathodes are generally lower than 200 mAh g −1 . 14-16 Meanwhile, these transition-metal inorganic compounds are generally prepared from limited mineral resources, thus raising concerns of resource shortages and environmental issues. It is therefore imperative to exploit abundant electrode materials with low cost, high energy and power density.Organic electrode materials, which consist of naturally abundant chemical elements (e.g. C, H, O, N, S), provide an alternative for developing greener and more sustainable energy storage devices. [17][18][19] Organic electrode materials also have advantages of high capacity, good design-versatility, flexibi...