The invention discloses an efficient power source capable of supplying electricity in a constant voltage and constant current alternation mode. The efficient power source capable of supplying the electricity in the constant voltage and constant current alternation mode comprises a power source, an EMI filter, a rectifier and filter module, a power factor correction module, a power management IC module and an LLC transformer module, which are connected in sequence, wherein the LLC transformer module outputs two types of windings which are respectively used as windings of a high voltage and constant current output module and a low voltage and constant voltage output module. The efficient power source capable of supplying the electricity in the constant voltage and constant current alternation mode effectively uses an efficient control mode of PWM (pulse width modulation) of an LED (light emitting diode) backlight, outputs a constant voltage source and a constant current source which alternately work under loop control by only using a transformer, not only can meet the constant current requirement of the LED backlight, but also can meet the constant voltage source requirement of a machine core, simplifies an electric circuit due to the fact that no constant current board or no accessory power source needs to be manufactured, achieves low power consumption in a standby mode, and reduces system cost, and furthermore efficiency of the power source is improved.