Systems and methods for laser trimming dental aligners include a model positioning system, an orientation determination system, and a laser trimming system. The model positioning system receives a physical dental model with a material thermoformed thereto. The dental model includes an orientation feature. The model positioning system moves the dental model to a position where the orientation feature is viewable by a camera. The camera captures an image of the orientation feature. The orientation determination system identifies an offset of the dental model by determining an actual orientation of the dental model based on the image of the orientation feature. The laser trimming system cuts the material from the dental model along a trim line while the fixture plate is moved about at least two axes relative to the laser trimming system.