A clothes drying rack, folding, of the type which can be in one of two extreme states - folded for storage or deployed ready for use, having a median plane and comprising a clothes hanger frame with a main plane, and a prop frame with main plane, wherein: - The hanger frame is mounted on a hinge rotating around a direction which is orthogonal to the median plane on a means of support which is either an integral part of the drying rack or exogenous to it. - The prop frame is mounted on a hinge rotating around the direction on the means of support. - The two hinges (8, 10) of the hanger frame and the prop frame are separate from each other. - The prop frame and the hanger frame are arranged such that, in the deployed state, they cooperate through mechanical attachment in zones (19a, 19b) being respective structural parts, away from their hinges (8, 10) with regards to the means of support, in such a way that the prop frame holds the hanger frame in position. - The prop frame and the hanger frame cooperate in both the deployed and folded states and in all intermediate states, by a means of permanent mechanical attachment comprising a pin mounted on the prop frame, fitted so as to be able to slide along an elongated groove formed in the hanger frame inside its envelope, in its longitudinal edge, which has a distal end and a proximal end with respect to the hinge and which extends in a general direction orthogonal to. - In the folded state, the pin is located near the distal end, in the deployed state the pin is blocked, during deployment the pin slides along the groove in the direction from the distal end to the proximal end, during folding the pin slides along the groove in the direction going from the proximal end to the distal end, the sliding stroke of the pin corresponding to the pivoting stroke of the hanger frame and the prop frame between the folded state and the deployed state. Characterised in that: - The groove, formed in the inner face of the longitudinal edge has, laterally, a notch with a bottom, divergent and localized, formed in the hanger frame, which, relative to the groove, extends from the side of the hanger frame where the prop frame and is located near the proximal part. - The pin, with general direction, protrudes from the outer face of the longitudinal edge of the prop frame, - during deployment the pin slides along the groove and, in the deployed state, penetrates into the notch due to gravity so as to lodge therein and lock unidirectionally on the bottom thereof. - During folding, the pin slides along the groove and passes the notch without entering it. - The hanger frame is mounted on a hinge rotating around a direction which is orthogonal to the median plane on a means of support which is either an integral part of the drying rack or exogenous to it. - The prop frame is mounted on a hinge rotating around the direction on the means of support. - The two hinges (8, 10) of the hanger frame and the prop frame are separate from each other. - The prop frame and the hanger frame are arranged such that, in the deployed state, they cooperate through mechanical attachment in zones (19a, 19b) being respective structural parts, away from their hinges (8, 10) with regards to the means of support, in such a way that the prop frame holds the hanger frame in position. - The prop frame and the hanger frame cooperate in both the deployed and folded states and in all intermediate states, by a means of permanent mechanical attachment comprising a pin mounted on the prop frame, fitted so as to be able to slide along an elongated groove formed in the hanger frame inside its envelope, in its longitudinal edge, which has a distal end and a proximal end with respect to the hinge and which extends in a general direction orthogonal to. - In the folded state, the pin is located near the distal end, in the deployed state the pin is blocked, during deployment the pin slides along the groove in the direction from the distal end to the proximal end, during folding the pin slides along the groove in the direction going from the proximal end to the distal end, the sliding stroke of the pin corresponding to the pivoting stroke of the hanger frame and the prop frame between the folded state and the deployed state. - The groove, formed in the inner face of the longitudinal edge has, laterally, a notch with a bottom, divergent and localized, formed in the hanger frame, which, relative to the groove, extends from the side of the hanger frame where the prop frame and is located near the proximal part. - The pin, with general direction, protrudes from the outer face of the longitudinal edge of the prop frame, - during deployment the pin slides along the groove and, in the deployed state, penetrates into the notch due to gravity so as to lodge therein and lock unidirectionally on the bottom thereof. - During folding, the pin slides along the groove and passes the notch without entering it.