The invention relates to an arrangement in connection with a three-point hitch device, which includes- an upper link arm (11), in which there is a coupling element (12) for coupling the upper link arm (11) to a coupling counterpiece (51) fitted to a work machine (50),- alignment means (16, 17, 19, 72) for aligning the coupling element of the upper link arm relative to the counterpiece fitted to the work machine, and- lower link arms (13) together with operating devices (43).The alignment means are arranged to operate independently of the other operating devices. In addition, the invention also relates to an adapter part (51) for a work machine, to couple it to a three-point hitch device, a tractor, an upper link arm, and an arrangement for the coupling element (24) of a power take-off shaft (21).