Device for sequential operation of two or more cylinders, comprising: a first conduit, provided with a first branch, designed to be connected to a chamber of a first cylinder, and a second branch, designed to be connected to a chamber of a second cylinder; a second conduit, provided with a first branch, designed to be connected to the other chamber of the first cylinder, and a second branch, designed to be connected to the other chamber of the second cylinder; a first control valve, arranged along the second branch of the first conduit, which is movable between an opening configuration, in which it allows flow along the second branch of the first conduit, and a closing configuration, in which it prevents the flow along the second branch of the first conduit; a regulating element, arranged along the first branch of the second conduit, which is configured in such a way so as to allow an exhaust flow from the other chamber of said first cylinder towards said second conduit if the pressure in said other chamber of said first cylinder exceeds a predetermined value and to prevent flow in the opposite direction; an additional control valve, preferably a check valve, which is positioned parallel to said regulating element and is configured so as to allow a flow towards said other chamber of said first cylinder in case the pressure in said first branch in the portion facing said other chamber of said first cylinder is lower than the pressure in the remaining part of said first branch and to prevent the flow in the opposite direction; a first pilot conduit, which connects the first control valve and the first branch of the second conduit at an intermediate point between the connection to the first cylinder and the regulating element, and pilots the first control valve towards the closed configuration. a first conduit, provided with a first branch, designed to be connected to a chamber of a first cylinder, and a second branch, designed to be connected to a chamber of a second cylinder; a second conduit, provided with a first branch, designed to be connected to the other chamber of the first cylinder, and a second branch, designed to be connected to the other chamber of the second cylinder; a first control valve, arranged along the second branch of the first conduit, which is movable between an opening configuration, in which it allows flow along the second branch of the first conduit, and a closing configuration, in which it prevents the flow along the second branch of the first conduit; a regulating element, arranged along the first branch of the second conduit, which is configured in such a way so as to allow an exhaust flow from the other chamber of said first cylinder towards said second conduit if the pressure in said other chamber of said first cylinder exceeds a predetermined value and to prevent flow in the opposite direction; an additional control valve, preferably a check valve, which is positioned parallel to said regulating element and is configured so as to allow a flow towards said other chamber of said first cylinder in case the pressure in said first branch in the portion facing said other chamber of said first cylinder is lower than the pressure in the remaining part of said first branch and to prevent the flow in the opposite direction; a first pilot conduit, which connects the first control valve and the first branch of the second conduit at an intermediate point between the connection to the first cylinder and the regulating element, and pilots the first control valve towards the closed configuration.