Soft pumps have promised to revolutionize various industries including soft robotics, wearable devices, microfluidics and biomedical devices. However, low efficiency and limited power supply constrain their prolonged operation. Here, we report a self-powered triboelectric-electrohydrodynamic (TEHD) pump, which combines a soft electrohydrodynamic pump driven by an electrostatic generator, specifically a triboelectric nanogenerator; TEHD operates by collecting ambient energy and converting it into a high voltage power source, which is able to power the electrohydrodynamic pump without the need of external power supply. The performance is studied with and without power management circuit enhancement, and pressure of 4.49 kPa and flow rate of 502 mL/min could be achieved. Self-powered applications of soft actuator-driven processes, oil pumping in a microfluidic chip, and oil purification are also performed, demonstrating TEHD’s versatility. The TEHD pump holds promising applications, and offers new insights for the development of fully self-powered systems.