Double-object construction is a type of key construction in human natural languages in which the indirect object bears special relations with the direct one. How to successfully embody these relations and to maintain the binary-branching principle in X’-theory at the same time in structural presentation and generative derivation is a challenging task for the transformational-generative linguistics （TG theory）. To solve this problem

linguists put forward different proposals among which the most representative ones are the Larson shell construction by Larson（1988） and the vP shell construction by Chomsky（1995）/Radford（1997）. This paper aims to make a comparison between these two shell constructions through which we can see how different the Government & Binding （GB） theory of TG is from the Minimalist Program （MP） in solving.