A stability analyzing apparatus is in cooperation with a DC power system having a bus terminal connected to at least a load, and comprises a perturbation signal generating module, a signal processing module and a determining module. The perturbation signal generating module generates a perturbation signal injected into the bus terminal to obtain a transfer function of the bus terminal impedance. The signal processing module is electrically connected to the perturbation signal generating module and calculates the slope of the transfer function of the bus terminal impedance to obtain a transfer function of the bus terminal impedance slope. The determining module is electrically connected to the signal processing module and determines the stability tendency of the DC power system according to the transfer function of the bus terminal impedance slope. A stability analyzing method is also disclosed.
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