An agricultural haymaking machine intended to be hitched to the lower arms of a tractor comprises a frame supported on the ground by wheels and at least one work device connected to the frame, the frame being in its front part in pivoting connection with a hitching device configured to be connected to the two lower arms, the center of gravity of the machine being situated between the wheels and the hitching device. According to the invention, the projection of the axis of the pivoting connection, on a plane which is substantially vertical and substantially parallel to the direction of advance, has an inclination towards the direction of advance following a direction of the ground upward.