A device for determining the teat positions of a dairy animal after milking. The device is provided with at least one position-measuring device for determining a position of a teat prior to the milking of the dairy animal and for emitting a position signal corresponding to the teat position. The position-measuring device generates individual teat position signals and a control unit determines on the basis of the teat position signals determined before the milking, planes of symmetry extending substantially parallel to the teats. The expected positions are calculated with respect to the planes of symmetry.