A well tool device includes a mandrel device, a sealing element and upper and lower supporting devices. The well tool device may be configured between a run state, in which the sealing element is radially retracted, and a set state, in which the sealing element is radially expanded. The well tool device further includes a pressure distribution device for distributing the pressure on the sealing element in the set state via the upper and lower supporting devices. The pressure distribution device includes a sleeve device provided radially outside the mandrel device and radially inside the sealing element, where the sleeve device is axially displaceable in a sleeve compartment in relation to the mandrel device and the sealing element. The sleeve device includes an upper protrusion for applying a downwardly directed axial force to the upper supporting device when the sleeve device is in its lower position.