A novel baby nipple assembly for use with a flexible drink pouch, wherein the baby nipple assembly generally comprises a mount subassembly (sometimes hereinafter referred to as simply “the mount” or “the disk”) for attachment to the flexible drink pouch, and a nipple subassembly (sometimes hereinafter referred to as simply “the nipple”) for connection to the mount subassembly, wherein the mount subassembly comprises a relatively large flat element for adhesion to an outside surface of the flexible drink pouch, and the nipple subassembly comprises (i) means for connection to the mount subassembly, (ii) a sharp tube for extending through the mount subassembly and puncturing the side wall of the flexible drink pouch, and (iii) a soft nipple in fluid communication with the sharp tube, whereby a baby or young child can suckle on the nipple and receive the beverage from the flexible drink pouch.