In an economic point of view the internationalization process of museums raises relevant subject. The question we would like to answer in this paper is whether or not museums, in spite of being non-profit organizations, are behaving like for profit organizations seeking internationally after new market shares and global efficiency. In a first part we will see that the internationalization process of museum could not occur if the functions of museums hadn't first changed. In a second point we will propose a conceptual framework of museums internationalization. In last part we will compare three internationalization processes and demonstrate that internationalization through affiliates is reserved to the Star Museums.