A multiple hydraulic distributor device, having an antisaturation function wherein flow of hydraulic fluid is divided independently of load, which includes a hydraulic distributor device having a number of distributor devices assigned to controlling respective loads, which are stacked up face to face against each other as a stack and individually arranged in such a way that the stack has a common line passing through the stack for supplying working fluid under pressure originating from a source including a pump associated with a flow/pressure control device, a common return line for returning working fluid to a tank, and a common transmission line for transmitting control fluid at a pressure of highest load towards the control device for controlling the pump; a shut-off device arranged in the transmission line between a first group of distributors for which the transmission line is connected to the flow/pressure control device for controlling the source, and at least a second group of distributors for which the transmission line is not connected to the flow/pressure control device for controlling the source, wherein the second group of distributor devices are not subjected to a pressure of the first group of distributors and respective corresponding receivers are free to receive output flow from the source, wherein the pressure in these receivers is selected from the group consisting of pressure of the load and pressure corresponding to flow determined by the pressure flow equilibrium.