The emergence of electronic devices has brought earth-shaking changes to people’s life. However, an external power source may become indispensable to the electronic devices due to the limited capacity of batteries. As one of the possible solutions for the external power sources, the triboelectric nanogenerator (TENG) provides a novel idea to the increasing number of personal electronic devices. TENG is a new type of energy collector, which has become a hot spot in the field of nanotechnology. It is widely used at the acquisition and conversion of mechanical energy to electric energy through the principle of electrostatic induction. On this basis, the TENG could be integrated with the energy storage system into a self-powered system, which can supply power to the electronic devices and make them work continuously. In this review, TENG’s basic structure as well as its working process and working mode are firstly discussed. The integration method of TENGs with energy storage systems and the related research status are then introduced in detail. At the end of this paper, we put forward some problems and discuss the prospect in the future.