The invention relates to a device for coupling an agricultural implement to an agricultural tractor (1), comprising two frames (10) each provided with two base plates (11a) arranged such that each base plate (11a) of the frame (10) carried by the agricultural tractor (1) is brought into position under the base plate of the frame carried by the agricultural implement, in such a way as to form, with the latter, a pair of base plates consisting of a base plate pierced by a hole of predefined cross-section and dimensions and a base plate (11) comprising a centering member (18, 19) of decreasing cross-section starting from a base section of dimensions and cross-section matching those of the hole of the other base plate. In addition, tilting means are designed to cause, in a position where the centering members (18, 19) are partially engaged with the facing holes, a relative tilting of the two frames during which said centering members serve as the pivot for said tilting.