Shading device for a transparent surface part of a motor vehicle having a flexible shading structure, two non-parallel lateral guide arrangements fixed with respect to the vehicle and having a dimensionally stable pull-out profile displaceable in parallel fashion by in each case one guide carriage in the respective lateral guide arrangement via a drive device, lateral shading structure sections protruding, in a manner dependent on the displacement travel of the shading structure, into lateral receiving spaces fixed with respect to the vehicle. To the lateral shading structure sections, there are fastened in each case two support bodies spaced apart from one another in the pulling-out direction of the shading structure and the thickness of which is greater than a thickness of the respective shading structure sections. The support bodies are guided in transversely supported fashion with play in complementary support channel sections of the receiving spaces.