Embodiments of the present application provide a detection apparatus of electrochemical impedance spectroscopy and a battery management system, the detection apparatus including a waveform generator, where the waveform generator is integrated in a battery monitoring chip; an excitation resistor; a detection resistor; and an MOS switch, wherein the waveform generator is configured to generate a pulse waveform, a gate electrode of the MOS switch is configured to receive the pulse waveform; the excitation resistor is configured to enable the battery to generate an excitation current when the gate electrode of the MOS switch receives the pulse waveform; the detection resistor is configured to convert the excitation current into an excitation voltage, the excitation voltage is configured to calculate an electrochemical impedance of the battery, The detection apparatus of electrochemical impedance spectroscopy in embodiments of the present application can lower cost and volume of EIS detection.