A hitch device for connecting a groomer vehicle having a first frame extending along a first axis, and an implement, in particular a rotary snow tiller, for grooming the snow covering of ski slopes and having a second frame extending crosswise to and symmetrically with respect to a second axis. The hitch device has an arm hinged to the first frame about a third axis perpendicular to the first axis, and about a fourth axis perpendicular to the first and third axis; a first actuator for adjusting the position of the arm about the third axis with respect to the first frame to lift and lower the implement; at least one second actuator for adjusting the position of the arm about the fourth axis with respect to the first frame; a movable coupling movable between the arm and one of the first and second frame; and a third actuator for adjusting the position of the arm in a plane crosswise to the fourth axis.