The purpose of this study is to examine if there exists the inconsistency in conceptual metaphor by analyzing the metaphorical linguistic expressions based on conceptual metaphor theory. In other words, this study aims to find apparent incoherences of conventionalized metaphorical expressions in Korean and to understand metaphorical contradiction in general conceptual metaphor. To undertake this study, three parts are examined: the inconsistency of relationship between source domain and target domain, the contradiction of the number of conceptual domains, and the inconsistency of time orientation metaphors in Korean. From this analysis, we can understand the distinctive features as well as the universal characteristics about conceptual metaphor. The findings of this study are as follows: First, the study shows that the more abstract conceptual domain, which is target domain, is conceptualized through the more concrete conceptual domain, which is source domain, and vice versa. Second, there may be more than two domains in a metaphorical linguistic expression. Third, time is located either in front or behind in Korean depending on the direction that the observer faces. To sum up, there exists the inconsistency in conceptual metaphor. This study gives two perspectives, i.e., universality and distinctiveness, about conceptual metaphor.