A method and device for machining conical wooden workpieces are disclosed. The workpiece has two long sides that are curved and lie at an angle to one another. A first planing tool planes one long side along its curvature, while a second planing tool planes the opposite long side along the same curvature, superimposed with a desired conicity. The second planing tool is adjusted transversely to the transport direction during planing. The device comprises two planing tools mounted on sliders, which are coupled and adjustable by a drive unit. A pressing unit and a scanning shoe enable precise guidance of the workpiece during machining, minimizing wood waste and maximizing yield.