Abstract: An accessory bag meant to be worn by a wearer, such as a handbag or pocketbook, is provided with forward, rear and two side surfaces of material, each of the side surfaces being attached to the forward and rear surfaces along respective seams and each of the side surfaces includes bilateral incisions. Two folded lengths of attaching material are attached at their open ends to the accessory bag along respective seams of the side surfaces, and portions of the folded lengths of attaching material pass through the incisions to reveal the closed ends thereof external to the enclosure defined by the various surfaces of the accessory bag. A first pair of attachment devices are coupled to respective closed ends of the folded lengths of attaching material, each attachment device being suitable to receive a respective end of a waist-strap. A second pair of attachment devices are coupled to respective side surfaces, each attachment device of the second pair being suitable to receive a respective end of a shoulder-strap.