Although axiomatic systems and proof method for temporal logic have found so far relatively few applications in the query language modeling of temporal database and that was proved by Gabbay, et al in 1994, the model of time axes still must be built axiomatically, which owns soundness and completeness and depicts the time axes in fine grain. Thus the essential characteristics of time and temporal attributes in database can be described exactly, and the result is used in the temporal querying. So the research starts from essential characteristics of time attributes. At first, this paper expounds the order relation and first order logic properties of time axes. Secondly, this paper axiomatically models that using Tense Logic and dynamic logic, which aims at reflecting the properties of axes in fine grain by logical analysis. In the part of dynamic logic modeling, respecting to the static of temporal logic system, this paper mostly deals with the dynamics in the new system. Based on Lin.Z system in Tense Logic, this paper makes out the dynamic Lin.Z system, which has some parameters and functions. The parameters of this system are based on the action, which helps the action exponential numerical and functional. The results of that embody the properties and representation method of the rule’s lifecycle and point “Now” in temporal database, which positively helps the research in the field of temporal knowledge representation and temporal querying subsequently.