Device for three-dimensional vibration insulation between structures or industrial equipment in general and the foundations thereof, comprising a hexagonal framework formed by six plates connected so as to pivot in relation to each other by horizontal parallel hinges, at least a spring and a damper being arranged between the plates. The device further comprises a connector arranged its series on the upper plate so as to pivot about a horizontal axis perpendicular to the axis of the hinges. The insulating system comprises a plurality of devices operating in parallel and oriented in such a way that the transverse axes thereof (defined by the hinges) converge onto a vertical axis that contains the center of gravity of the structure or equipment being insulated, in particular against high-intensity seismic activity with large displacements.