A toolholder includes an absorber mass externally mounted to a body portion of the toolholder. A spacer is disposed within one or more recesses formed in a bottom wall of the absorber mass. One or more resilient members are disposed between the body portion and the absorber mass, and one or more resilient members are disposed between the absorber mass and the spacer. A clamping bolt passes through each spacer, through the absorber mass and is threaded into the body portion of the toolholder. A rigidity of the one or more resilient members can be selectively adjusted by the clamping bolts so as to tune the absorber mass for optimum dampening of vibration of the toolholder.