In an active noise-reduction controlling apparatus, there are provided a reference sensor for outputting a reference signal corresponding to information about a noise source, a noise-reduction error sensor for detecting a noise-reduction condition, an adding acoustic wave source controlled to produce an acoustic wave having the same amplitude as that of an acoustic wave received at the noise-reduction error sensor and having a phase opposite to that of the acoustic wave received as the noise-reduction error sensor; a first adaptive digital filter for processing the reference signal to output a control signal of the adding acoustic wave source, a second adaptive digital filter for setting a predicted value of a transfer function between an input signal of the adding acoustic wave source and an output signal of said noise-reduction error sensor, a filter coefficient controlling unit for optimizing a coefficient of the first adaptive digital filter with employment of the predicted value of the transfer function and the output of the noise-reduction error sensor, and a control unit for correcting the predicted value of the transfer function in accordance with an environmental change.