A battery diagnosis apparatus determines whether a battery may be reused and includes a data obtaining device configured to output a perturbation signal, a signal regulating device configured to generate a current by applying the perturbation signal to a battery and performing feedback of a current signal output from the battery, and a noise canceling device configured to cancel noises of the current signal and a voltage signal received from the battery. The data obtaining device outputs the perturbation signal while changing a frequency, obtains an impedance spectrum based on the noise-canceled current signal and voltage signal for each frequency, and determines whether to reuse the battery based on the obtained impedance spectrum.