In an electrical lamp, whose envelope is closed by a pinch of rectangular cross-section, through which current-supply conductors are passed and which is supported in a cap between inwardly projecting parts, which seize around the narrower side faces of the pinch, according to the invention, one of the current supply conductors is bent backwards with its part projecting from the pinch along one of the narrower side faces and is clamped between pinch and lamp cap. Thus, it is possible to use a cap having only one bottom contact and nevertheless to secure the lamp envelope to the cap without additional means.