According to the present invention, an outer lever (1) of a finger lever (2) that can be switched to different lifts for at least one gas exchange valve is made by a deep drawing method. A salient feature of the invention is that through a special trimming operation of the cup-shaped base body (16) that is formed in a first step of the method, running contact surfaces (14, 15) for cams, preferably high-lift cams, are generated on upper sides (12, 13) of arms (4, 5) of the outer lever (1). Through the deep drawing method of the invention, only relatively low fabrication costs are to be expected.