The invention relates to a machine for surface and thickness working of wood workpieces of any dimensions, in particular short and thin workpieces without rigid clamping of the workpiece, consisting of a machine housing, a movable working table, a two-part baseplate with circular cutout into which a face of a milling head provided with fixed and exchangeable cutting edges is inserted. In the head, there is a guide insert. An upper guide strip is disposed in exactly the same plane as the cutting edge apex on the milling head and also in the same plane as a stationary portion of the baseplate. At least two working spindles, set at predetermined angles, are provided. The workpiece slides on the two-part baseplate guided by two flank guide rails and an upper guide strip forming together a movement channel for the workpiece.