A winding apparatus that produces electrical energy storage devices includes a rotatable winding core on which two electrode strips and two separator strips are wound, strip guides which guide the various strips along feeding paths, and at least one rotatable and/or slidable portion that supports at least one strip guide. The rotatable and/or slidable portion rotates and/or slides, respectively, to adjust the position of the respective strip according to an increase in the diameter of the wound product in order to have the desired insertion direction of the strip with respect to the peripheral surface of the product.