A vibration/noise control system controls vibrations and noises generated with a periodicity or a quasi-periodicity from a vibration/noise source having a rotating member. A W filter formed by an adaptive digital filter generates a control signal for controlling the vibrations and noises. A self-expanding engine mount is arranged in a vibration/noise transmission path and converts the control signal into a driving signal for driving the vibration/noise source. A vibration/noise error sensor detects an error signal indicative of a difference between the driving signal and the vibrations and noises. A C filter stores a transfer characteristic of a portion of the vibration/noise transmission path extending between the W filter and the error sensor, and generates a reference signal based on the transfer characteristic. An LMS processing block updates the W filter coefficient, i.e. the control signal such that the error signal is made minimum, based on the error signal, reference signal and W filter coefficient. An H system-identifying filter identifies a dynamic characteristic of a physical system extending between the W filter and a predetermined control area, and a C system-identifying filter identifies a dynamic characteristic of the above portion of the vibration/noise transmission path. The C filter coefficient is updated based on results of identification by the C system-identifying filter. The H system- and C system-identifying filters each include an adaptive digital filter, of which the filter coefficient is updated by the use of a genetic algorithm.