The invention discloses a method for determining a container model of a single tooth, in particular to a method for determining a container model based on tooth surface characteristics and a local three-dimensional right angle coordinate system, which mainly comprises the following steps: based on a segmentation tooth digital model, reflecting the curve degree at the peak by utilizing complex collection of a triangular facet and a discrete Gaussian curvature, collecting surface feature points of a single tooth; based on the surface feature points of the single tooth, establishing corresponding local three-dimensional right angle coordinates for incisor teeth, cuspid teeth, premolar teeth, and odontoprisis; and respectively establishing the container models of the incisor teeth, the premolar teeth, the odontoprisis and the cuspid teeth by using extreme values of the single tooth model under the three-dimensional right angle coordinate system. The invention has the advantages of novel and reasonable design, convenient implementation, high operating speed, high data processing accuracy and good implementation effect, can extract characteristic points of teeth and facilitate the operation on teeth, and can be used in the tooth correcting system.