In a stroke-transmitting device for a variable transmission of an operating stroke to a member to be actuated, specifically a gas exchange valve for an internal combustion engine, including a control unit with first and second control structures, a control cam is provided for coupling the first and second control structures and having different control regions which are displaceable for an adjustment of the stroke of the member to be actuated with at least first and second degrees of freedom for controlling the stroke transmitted to the member to be actuated.