A fluid-operated medical or dental handheld element is disclosed, having a connecting device for connecting the handheld element to a fluid source so that a first impeller can be induced to rotate by a fluid stream to cause a tool to execute a driving motion, a fluid conducting device arranged between the connecting device and the first impeller for conveying a fluid stream away from or toward the first impeller, and a generator for generating electric power. The generator includes a second rotatable impeller that can be driven by at least a substream of the fluid stream conveyable in the first fluid conducting device. One result is more constant generation and output of power by the generator independent of the rotational speed of the first impeller, thereby insuring a more constant power supply to a power consuming device connected to the generator.