The three-dimensional craniofacial soft tissue shapes in the upright and lying postures are different due to the gravity . In order to rectify the three-dimensional craniofacial model from the lying posture to one from the upright posture, a rectification technique of three-dimensional craniofacial models based on geodesic was proposed. Firstly, the correspondences of the craniofacial feature points under two postures were established by using the intrinsic geometric invariance of geodesic distance; Secondly, a statistical model of the feature point motion from lying to upright posture was established by using principal component analysis; Finally, for a craniofacial model in lying posture, the motion of the feature points was determined by the statistical model, and the deformation of the craniofacial model from lying posture to one from upright posture was determined according to the motion of the feature points. The mean error was decreased from 10-2 orders of magnitude before correction to 10-4 orders of magnitude after correction. The problem of point correspondence between two postures was well solved by using the intrinsic geometric invariance of geodesic distance. The established feature point motion model can well represent the deformation of the craniofacial model from lying posture to one from upright posture, and thus can achieve effective model correction.