The purpose of this paper is to describe the composition constraints between the temporal nouns (eoje, oneul, naeil) and the postposition ‘e’. In the related research of this study, related mainly to the syntax, it is not easy to understand it only by looking at the results. In some sentences the temporal nouns are written as nouns and it is possible to combine them with the postposition, but in the other sentences the temporal nouns are written as adverbs and it is not possible to combine them with the used adverb. However such an explanation is not convincing enough for the composition constraints. Thus in this paper we study the basic nature of this composition constraints in order to determine why we cannot combine ‘eoje, oneul, naeil’ with the postposition ‘e’. First of all, ‘eoje, oneul, naeil’ is the ‘deictic time’ arranged as ‘past-present-future’ and focused on the speaker. It also has another feature of the unit time, such as ‘year, month, and day’. In addition to this, we can also find a reason for the composition constraints through the relation of time noun with tense and progressive aspect. ‘eoje, oneul, naeil’ have smaller time conception and locate closer from speaker, compared with non-deictic time noun.