An adjustable support device adjustable by an electric motor, for supporting padding of seating or reclining furniture has an outer frame and a base body having at least two support parts. The two support parts are adjustable relative to one another. An adjustment element, which is in drive connection with a drive unit, is associated with at least one of the adjustable support parts. The adjustment element is a pivot lever which is pivotable under the traction effect of a pull cable of a Bowden cable, and the pivot lever is pivotably connected to the associated support part, and is supported on a support situated on the outer frame. Or the pivot lever is pivotably connected to the outer frame, and with its free end forms a support for the support part to be adjusted.