The purpose of this paper is to show the basic outline of recent Minimalist Theory(particularly focused on Attract-F) suggested by Chomsky (1993, 1995), and to reveal the superiority of the theory to the other previous theories on there-constructions. In Chomsky`s Attract-F approach, feature [D] on there is checked against the strong feature [D] on T, the NP adjjoined to there in LF has its Case feature and φ-feature checked off against those of T, and the object-NP in the embedded infinitive is adjoined to the higher V in LF in order to have its Case and φ-featuers checked off. Partititive case approach is exceptional because the partitive case is assigned through government but all the other morphological feafures are checked through Spec-Head agreement. The analysis where the strength of feature on T is weakened can also be incorporated into the Attract-F approach. The theory where there is considered a defective` NP has been developed into the Attract-F approach. In conclusion, so fas as the Attract-F concerned, it is the most effective theory in the analysis of there-constructions.