The invention discloses a radio frequency receiving device of a discontinuous frequency spectrum and a method of the radio frequency device of the discontinuous frequency spectrum. The device comprises a ratio frequency band-pass filter circuit I, a low-noise amplifier, a branching unit, a filtering control circuits, a combiner, a low-pass filter circuit, an alternating current and direct current (AD) switching circuit and a baseband circuit. At least one group of filter control circuits are arranged, and each group of filter control circuits is connected in parallel. Each filter control circuit comprises a radio frequency band-pass filter circuit II and an electronic switch. After the radio frequency band-pass filter circuit I receives signals, the signals are simplified by the low-noise amplifier and are transmitted to at least one group of filter control circuits to filter, filtered signals are combined to one channel through the combiner, are filtered through the low-pass filter circuit, and are transmitted to the AD switching circuit and the baseband circuit. The radio frequency receiving device can not only receive useful signals of electric wireless equipment, but also restrain other interference signals except for the three clusters. The radio frequency receiving device is simple in structure, and high in system stability.