An attachment system for use with an intra-oral dental appliance to be inserted into the oral cavity of a human for treatment of sleep apnea, snoring, bruxism, and temporo-mandibular joint disorder, the attachment system having: a first attachment means securable to a bilateral under surface conforming to the clinical occlusal plane of a human, and to the maxillary dentition of a first molded member a second attachment means securable to a bilateral upper surface conforming to the clinical occlusal plane of a human, and to the mandibular dentition of a second molded member an attachment element having means for connecting the first attachment means, and connecting the second attachment means cooperatively together.