A self-retaining artificial spinal disc is formed of a flexible material and has a peripheral lip or meniscus extending from its top and/or bottom surface. The meniscus/menisci encircle portions of vertebrae adjacent the implant site, to enhance retention of the artificial spinal disc when seated in the spinal column. The meniscus/menisci for example snugly overlie the vertebral portions, and foster a suction seal between the disc and the adjacent vertebrae. The disc may be formed as an integral whole, or as two half-discs joinable by gluing, melting or like methods. In a related method, a self-retaining artificial spinal disc is formed in layers, by pouring and drying measures of liquid disc solution in a mold. A meniscal extension is formed from the disc body. Drugs or salts may be added to the disc layers, for example to provide an artificial spinal disc with time-release antibiotics or a desired porosity.