The work presented describes adaptive periodic disturbance cancellation as applied to the vibration of two cryocoolers. The coolers are driven by linear motors. The periodic input signal necessary to reduce the disturbance is calculated by vibration measurements using the systems frequency response. It is subsequently added to the drive voltage. This leads to a complete disturbance rejection in only one control step. The experimental results show excellent convergence within the limits of the vibration sensor resolution. A method of vibration control is thus described that is not only capable of reducing the vibrations at the drive frequency of the coolers, but also at multiple harmonics. For example, this means the vibrations are reduced from 1 and 0.2 ms-2to 0.02 and 0.01 ms-2, respectively for the various moving elements.