Several methods have been proposed to address complex questions of knowledge base question answering (KBQA). However, the complex semantic composition and the possible absence of inference paths lead to the poor reasoning effect of complex questions. To this end, this study proposes the CGL-KBQA method based on the global and local features of knowledge graphs. The method employs the knowledge embedding technique to extract the topological structure and semantic features of knowledge graphs as the global features of the candidate entity node, and models the complex questions as a composite triple classification task based on the entity representation and question composition. At the same time, the core inference paths generated by graphs during the search process are utilized as local features, which are then combined with the semantic similarity of questions to construct different dimensional features of the candidate entities and finally form a hybrid feature scorer. Since the final inference paths may be missing, this study also designs a cluster module with unsupervised multi-clustering methods to select final answer clusters directly according to the feature representation of candidate entities, thereby making reasoning under incomplete KG possible. Experimental results show that the proposed method performs well on two common KBQA datasets, especially when KG is incomplete.