A hitch device (1) for connecting a groomer vehicle (2) having a first frame (4) extending along a first axis (A1), and an implement (3), in particular a rotary snow tiller, for grooming the snow covering (M) of ski slopes and having a second frame (7) extending crosswise to and symmetrically with respect to a second axis (A2). The hitch device has an arm (10) hinged to the first frame (4) about a third axis (A3) perpendicular to the first axis (A1), and about a fourth axis (A4) perpendicular to the first and third axis (A1, A3); a first actuator (11) for adjusting the position of the arm (10) about the third axis (A3) with respect to the first frame (4) to lift and lower the implement (3); at least one second actuator (12) for adjusting the position of the arm (10) about the fourth axis (A4) with respect to the first frame (4); a movable coupling (14) movable between the arm (10) and one of the first and second frame (4, 7); and a third actuator (17) for adjusting the position of the arm (10) in a plane crosswise to the fourth axis (A4) .
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