A hand-held machine tool (1) for sanding or polishing a workpiece features a housing (2); a motor (4) for rotating a tool shaft (5) of the machine tool about its axis of rotation (6); and a backing pad (3) for releasable attachment of a sanding or polishing element thereto and eccentrically attachable to the tool shaft by an eccentric element (11) to allow the backing pad to perform a working movement. The machine tool implements different working movements of the backing pad attached thereto. The housing includes first magnetic elements (16) facing the backing pad. The backing pad attached to the eccentric element includes second magnetic elements (17) facing the housing. The machine tool implements a first working movement if a magnetic force is active between some first and second magnetic elements and a second working movement if no magnetic force is active between the first and second magnetic elements.