An electric heating device for heating fluids, comprising a housing, inlet and outlet connection pieces arranged at inlet and outlet openings of the housing, respectively, a flow path in the housing through which the fluid to be heated flows leading from the inlet connection piece to the outlet connection piece, and an electric heating unit attached to the housing. The flow path comprises inlet and outlet chambers and at least two flow channels running side by side from the inlet to the outlet chambers. A separating wall separates two flow channels from one another. Each flow channel has an inlet section connected to the inlet chamber and defining an inlet flow direction and an outlet section connected to the outlet chamber and defining an outlet flow direction. The inlet connection piece is oriented in the inlet flow direction and/or the outlet connection piece is oriented in the outlet flow direction.