We propose generalized 3D shape descriptor for efficient classification of 3D archaeological artifacts Our descriptor is based on a Multi-View approach of curvature features, consisting of the following steps: Pose normalization of 3D models, Local curvature descriptor calculation, Construction of 3D shape descriptor using the Multi-View approach and curvature maps, and Dimensionality reduction by Random Projections. We generate two descriptors from two different paradigms: a) Hand-Crafted, wherein the descriptor is manually designed for object feature extraction, and directly passed on to the classifier; and b) Machine Learnt, in which the descriptor is automatically learns the object features through a pretrained Deep Neural Network model (VGG-16) for Transfer Learning and passed on to the classifier. These descriptors are applied to two different archaeological datasets: (a) non-public Aztec dataset, represented by a collection of 963-3D archaeological objects from the Templo Mayor Museum in México City, that includes anthropomorphic sculptures, figurines, masks, ceramic vessels, and musical instruments; and (b) 3D Pottery Content Based Retrieval Benchmark dataset, consisting of 411 objects. Once the Multi- View descriptors are obtained, we evaluate their effectiveness by using the following object classification schemes: K-Nearest Neighbor, Support Vector Machine and Structured Support Vector Machine. Our object descriptors classification results are compared against 5 popular 3D descriptors in the literature, namely Rotation Invariant Spherical Harmonic, Histogram of Spherical Orientations, Signature of Histograms of OrienTations, Symmetry Descriptor, and Reflective Symmetry descriptor. Experimentally, we were able to verify that our machine learnt and hand-crafted descriptors offer the best classification accuracy (20% better on average than comparing descriptors), independently of the classification methods. Our proposed descriptors are able to capture sufficient information to discern among the different classes, concluding that adequately characterizes the datasets.