Abstract: An interaction peripheral device (1) capable of controlling an element for touching and grasping multidimensional virtual objects, including at least two interaction modules (20), each interaction module (20) being intended to be actuated by a finger of an operator and including a control sensor allowing control of displacement, according to a predetermined number of degrees of freedom, of a portion of the element for touching and grasping virtual objects by bending/extending and/or adduction/abduction displacement of the finger of the operator, and a vibrator able to emit a vibration upon touching and/or letting go of a virtual object by a portion of said element for touching and grasping virtual objects, characterized in that each interaction module (20) is attached to said peripheral device through a connection (40) in a damping material.