The present invention discloses a light emitting device power supply circuit and a damping circuit therein and a driving method thereof. The light emitting device power supply circuit includes: a tri-electrode AC switch (TRIAC) dimming circuit, a rectifier circuit, a light emitting device driver circuit, and a damping circuit. The damping circuit includes: an impedance circuit, which is electrically connected between the rectifier circuit and the light emitting device driver circuit; a silicon control rectifier (SCR) circuit, which is connected to the impedance circuit in parallel; and a delay circuit, which is coupled to the SCR circuit, for turning ON the SCR circuit after a delay time period from when the TRIAC diming circuit begins to start-up, wherein the delay circuit does not directly receive a full scale of the input voltage.