A method and a device are based on the application of an active correcting system with central corrector and Youla parameter for the attenuation of essentially monofrequency mechanical vibratory perturbations generated in a material structure by a rotating machine. Previously, a control law corresponding to a block modeling of the system is established and calculated, the blocks being, on the other hand, those of the central corrector and, on the other hand, a Youla parameter block, the modeling being such that only the Youla parameter, in the form of an infinite impulse response filter, has coefficients dependent on the vibratory perturbation frequency. During a phase of use, in real time, the frequency of the current perturbation is determined and the control law is calculated using for the Youla parameter the stored coefficients of a determined perturbation frequency corresponding to the current perturbation frequency.