We proposed a new automatic approach to classify and categorise various facial morphological traits, with a specific application to morphological traits in the lip region, using 3D geometric features based on geodesic path curvatures. We evaluated our approach on the large ALSPAC dataset consisting of 4747 3D scans of a 15-year-old population. Six experiments were conducted to evaluate our classification and categorisation approach and to compare manual and automatic trait categories on the lip region models using the PLSR method.