Arbitration agreement is an agreement by the parties to submit to arbitration all or certain dispute which have arisen or which may arise between them. Arbitration agreement is an important factor to judge the existence of the mutual arbitration agreement and it should be the object of examination before anything else to judge the existence of the mutual arbitration agreement. Recently the Supreme Court seemed to make negative position about validity of selective arbitration agreement. However theoretically and scientifically selective arbitration agreement is a valid arbitration agreement. Examine selective arbitration agreement throughly according to the autonomy of the parties rules, wide jurisdiction rules of interpretation, principle of kompetenz-kompetenz, and moses cone presumption rule of interpretation, selective arbitration agreement is a valid arbitration agreement. Also analyze precedents in accordance with validity of selective from all angles which are voluntary agreement of the parties, agreement in writing, principle of private autonomy, comparative study of domestic and foreign precedents and mutual relation of arbitration and trial, selective arbitration agreement based on principle of private by the parties is considered a valid arbitration agreement. Courts should actively accept selective arbitration agreement as a valid arbitration agreement to make foreign companies prefer arbitration in Korea and in oder for arbitration to be widely used in disputes.