An electrical heating unit, particularly for a hair drier, comprises a first wire heating element, in particular a spiral coil wire heating element (2) having a heat conductor support comprising at least one support plate (4, 5, 6), and a heat conductor winding (7) arranged thereon. This spiral coil wire heating element serves to heat the stream of air flowing through the hair drier. At least one second wire heating element is provided, serving the function of adapting the electrical voltage for a further electrical load, particularly as a series resistor, for a direct-current motor fitted with an impeller to produce the stream of air. The second wire heating element (3) comprises a frame-type heat conductor support (8) and a heat conductor winding (9) arranged thereon which fills the free area of cross section of the heat conductor support (8). Further, the second heating element (3) is secured to the first heating element (2).