An apparatus for making dental splints has a model plate forming a plurality of model-placement areas each having an upper face adapted to support a respective dental model and a lower face. Each area is formed with an opening between the respective faces, and respective conduits are connected to the lower faces of the areas at the openings. A rack for holding a thermoshapable film is movable between a position spaced from the plate and a position over the plate with the film engaging an outer edge of the plate all around the placement areas atop the plate over the models thereon. A pump or the like generates a subatmospheric pressure and applies it via the conduits to the placement areas to draw the film down over the models.