The invention relates to a cup tappet for an internal combustion engine, having a skirt which has a radial recess, into which an anti-rotation element (6) is inserted. The anti-rotation element protrudes from the skirt in the radial direction, in order to be accommodated in a corresponding groove of the cylinder head as an anti-rotation safeguard.According to the invention, the anti-rotation element (6) has an outer contour in longitudinal section with a head (20) and a stem (21). The stem has a reduced dimension compared with the head (20) and a thickened portion (32), and can be clipped into the recess of the skirt of the cup tappet under elastic deformation of the thickened portion (32).In this way, an anti-rotation safeguard is possible which can be assembled particularly simply, can be manufactured cheaply and is reliable.