The "International Covenant on Economic, Social and Cultural Rights" (hereafter, the COVENANT or ICESCR) was adapted on the same day, 16 Dec 1966, with the "International Covenant on Civil and Political Rights (hereafter, ICCPR)" at the UN General Assembly. They are also called as the "International Bill of Rights" with the Optional Protocol to the ICCPR and are the core and important International Instruments on Human Rights. However, compared with the ICCPR, the COVENANT was neither been regarded as important nor been paid any attention by the scholar in the world, hitherto. That's due to not only the traditional International Law was deeply influenced by the Ideology of the dichotomy concerning with the "Rightsof Freedom" between the "Social Rights", but also due to the influence of the Umbrella Clause Article 2(1),"each State Party to the Covenant under takes steps. . . . .with a view to achieving progressively. . . . .recognized in the present Covenant", of the COVENANT. One hand, the specialized agencies for monitoring the CVOVENANT has not been established may be one of the causes that the COVENANT has not been regarded as significant. The other hand, at the end of 1980s, the end of the "Cold-War", and the Monitoring Agency to the COVENANT "The Committee on Economic, Social and Cultural Rights" (hereafter, the COMMITTEE or CESCR) was been set up. The changing backgrounds made the interpretation to the COCVENANT, and the consideration to the State Parties' Obligation on the COVENANT with this as a turning point. In this thesis, Author would like to introduce the outline relating to the International Law, and the legislative backgrounds concerning with the International Covenant on Human Rights, First. Then focus the points on the "Concluding Observation" and the "General Comments", with heavy significance of the interpretation and the supervision to the COVENANT. Finally, Author will point some his personal visions and the courses to the research connecting to the Covenant in future.