Aspects of the present disclosure are directed to an ocular drainage device that includes a stability system. The stability system includes a plate, and can further include a material comprising collagen covering at least a portion of a top surface of the plate, and/or a viscoelastic substance covering at least a portion of the plate's top surface. The plate is formed of a flexible material and includes a tube retaining structure integrally formed therewith, wherein the tube retaining structure is configured to hold a tube that is at least partially surrounded by the tube retaining structure to the plate when the tube is moved. The tube retaining structure can include a low profile ridge, and/or a channel having an undercut or horseshoe shape. The plate has at least one plate channel, including a plate channel configured for carrying the tube. The plate can further include a reservoir.