The elimination of Government Theory is justified in the Minimalist Theory in that the license of traces, the check of structural Cases, the assignment of thematic roles, and the relation of Binding and Control etc. are explained without barriers. The Government is defined on the basis of barriers which limit downward line of COMMAND. And the Subjacency Condition and Empty Category Principle are deeply related with Government Theory because both explanations are dependent on the notion of barriers. But in the framework of Minimalist approach, as the Government Theory is eliminated, the Subjacency Condition is now replaced by economy principles on derivation, and the ECp by the licensing requirement on Chains. In order to form a legitimate Chain, first, it should satisfy morphological requirements such as ø -features, Case features. tense features and〔+WH〕features. The second, it should be uniform with respect to L-relatedness or T-relatedness or both. But in spite of the elimination of Government Theory, the Minimalist Theory should depend on barriers to explain Island phenomena such as the Strong Islands and the Weak Islands. If the notion of barriers can not be removed in such phenomena, the Minimalist Theory gets damaged in that the elimination of Government Theory can not be justified. In order to solve the problem, I propose that Wh-arguments and Wh-adjuncts be Wh-in-situs within the Strong Islands such as Subject Islands, Complex NP Islands, Adjunct Islands and Weak crossover Islands, and be explained by the following principle after SPELL-OUT without a direct Wh-movement. (A)〔+WH〕feature of wh-phrase within the Strong Islands can be absorbed only if there exists a〔+WH〕feature of wh-phrase in the matrix clause. And in order to explain the asymmetry of the extraction of arguments adjuncts in the Weak Islands, I propose that Wh-adjuncts only be Wh-in-situs without the lexical movement.