A method for making a denture comprising creating three-dimensional models of top denture base, bottom denture base, and denture tooth molds; fabricating the molds by an additive manufacturing process; joining the bottom denture base mold to the top denture base mold to form a denture base mold cavity; injecting fluid synthetic denture base material into the mold cavity and curing the material to form the denture base; removing the bottom denture base mold from the top denture base mold, while leaving the denture base in the top denture base mold; joining the denture tooth mold to the top denture base mold to form a mold cavity defining the shape of denture teeth; and injecting fluid synthetic denture tooth material into the denture teeth mold cavity and curing the material to form the denture teeth joined to the denture base. An apparatus for making the denture is also disclosed.