The purpose of this study is to discuss The Genocide of Armenians occurred in 1915 till 1923,and how should be submitted their claims in int. courts. During the genocide of Armenians a chain of social, economic, religious and political factors were impressive to the unprecedented and led in to the first Genocide of 20th century .which is still denied by Turkey State from 1923. This research has been submitted by using descriptive -documentary and analysis methods. Turkey &Armenia have jointed to Con. of Genocide (1948) and are the members of Council of Europe ,European.Con.of H.R.& European Court of H.R. ,so the State of Armenia as representative & claimant and all the survivor's ,inherits &children of victims of Armenian Genocide,according to art.n.33 & 34 of European Con. (protocol n. 9 &11) &UN.Con.dd.26.nov.1968,can submit their claims for restitution of their properties,&their all materially &spiritually lost rights against Turkey State ,to the European Court of Human Rights.