The invention relates to an electric drive unit comprising an electronic control module and an electric motor. The cooling of the components of the electric drive unit should be effected in a simple manner. To this end, the hub of the impeller wheel, which is situated on the rotation axis of the electric motor and provided for producing a working air flow, has a two-walled design, whereby a hub inner space is formed between the outer wall and the inner wall of the hub of the impeller wheel. At least one cooling surface of the cooling body, said surface being in contact with components of the electronic control module, projects into the hub inner space. A gap communicating with the hub inner space, is formed between the hub of the impeller wheel and a carrier section which supports the electronic control module and the electric motor. In addition, through-holes communicating with the hub inner space are provided in at least one component of the electric drive unit. When the electric drive unit operates and the impeller wheel is in motion an air flow between the gap and the through-holes is established. The invention also relates to an electric drive unit with a fan motor.