In the discussion of contemporary political thoughts, it is always controversial, whether the indigenous peoples possess the legitimacy to enjoy some special rights in the state. Regardless of the questions - whether the traditional customary practice of indigenous peoples should be included in the existing national legal system, or does it violate the constitutional principle of equality if the members of indigenous peoples enjoy some special rights in the political, economic and social lives of the state; both reveal a certain degree of the burden of justification to these questions. This paper therefore intends to explore the issue of the legitimacy of such rights and comes to the following conclusion: In order to implement the constitutional goal of being a multicultural state, to restore the historical injustice of the state and to recognize the constitutional value of the culture equality, the initiatives promoted by the state are therefore not only in accordance with the basic spirit of our constitution, but also comply with the moral point of view of the contemporary political philosophy of multiculturalism.