The invention discloses a high-power-factor LED (Light Emitting Diode) constant-current driving power supply without an electrolytic capacitor. The high-power-factor LED constant-current driving power supply comprises an alternating-current input power supply vin, a bridge rectifying circuit, a main switch tube, an energy storing capacitor, a freewheel diode, an auxiliary circuit, a transformer, a rectifying circuit and a filter capacitor. The high-power-factor LED constant-current driving power supply is mainly technically characterized in that: a flyback converter topology is adopted, and working in a discontinuous current mode is performed, so that power factor calibration is realized automatically, and a high input power factor is obtained; and meanwhile, the energy storing capacitor is arranged in a main circuit, redundant energy is stored in the energy storing capacitor when the input power pin is higher than output power Po, and insufficient energy is provided by the energy storing capacitor when the input power pin is lower than output power Po, so that constant working current can be provided for an LED. Meanwhile, voltage pulsation on the energy storing capacitor is high, and the capacitance values of a needed energy storing capacitor and filter capacitor are low, so that other types of capacitors of non-electrolytic-capacitor type such as ceramic capacitors and the like can be adopted.