Support device, which is adjustable by an electric motor, for cushioning of a piece of furniture for sitting and/or lying on has a base body, a first support section for supporting a person resting on support device, in a head/upper body region, and a second support section for supporting a person, in calf/thigh region. Stationary third support section is provided between the first and second support section. The first support section and/or the second support section have the three support parts which are pivotable in an articulated manner relative to one another and/or relative to the third support section. Electric motor drive is provided for adjusting the support parts. At least one separate actuating element is operatively associated with the individual support parts for pivoting a particular support part, and at least two support parts are pivotable independently.