Natural language understanding is in general conducted in several successive stages, such as morphology analysis, syntax analysis, semantics analysis, and discourse analysis. A number of methods have been proposed for each stage in the literature, especially for the enhancement of accuracy of analysis and time complexity. However, many problems still haunt these methods, when they do not consult the information available at other stages. Combinatory categorial grammar is known to present an intuitive way of integrating multiple stages, except the morphology analysis, of natural language understanding into a unified stage to address these problems. In this paper, we propose to go one step further to add the morphology analysis to such a unified stage of natural language understanding and show why the proposal helps to significantly lower the degree of ambiguity of analysis.