Abstract: With the development of electronic devices in the direction of high integration, high power and multifunctionality, as well as the rise of new flexible devices such as wearable devices, flexible displays and soft robots, higher requirements have been put forward for the efficient heat dissipation and flexible deformable ability of the devices, so flexible thermal conductive materials have received more and more attention, and have a broad application prospect. This paper summarizes the research progress and current status of flexible thermal conductive materials, compares and analyzes the advantages and disadvantages of the three major types of flexible thermal conductive materials, namely, carbon-based, polymer-based and liquid metal-based, and points out that the composite flexible thermal conductive materials, which are both excellent in thermal conductivity and flexibility, have profound development potential and practical value.