This paper accounts for the Case assignment of ECM verbs within the GB theory and the minimalist theory. The Case assignment of ECM verbs is accounted for on the "exceptional" level: that is, it is different from the other constructions within the GB theory. The Case assignment of believe verbs is consistently accounted for, like the Case assignment of all the constructions within the minimalist theory. Therefore, as a result from this paper, it comes to see that the minimalist theory is more explanatory adequacy than the GB theory in respect of the idea of grammar pursueing the minimum of grammar theory.