An electrical axial flux machine including a rotor shaft is provided. The rotor shaft is rotatable about an axis of rotation. Two rotors are arranged on the rotor shaft. The two rotors are spaced apart when viewed in a direction of the axis of rotation. The axial flux machine further includes a stator arranged between the two rotors when viewed in the direction of the axis of rotation. The stator includes stator teeth. Each of the stator tooth extends in the direction of the axis of rotation between two end regions. The stator teeth are arranged and distributed uniformly around the axis of rotation at a radial spacing from the axis of rotation and include a stator winding system. At least one ring structure is provided connecting the two end regions of the stator teeth. A housing further surrounds the stator radially on the outside.