Arbitration is an alternative form of contending participation as a method of “legal self adjustment”, which tends to accelerate the justice grant and gives the participating parties the opportunity to take initiatives and to adjust the procedure to their personal need. Through agreements, the parties are able to choose an arbitration lawyer who is specialized on the current subject matter, to choose the place and the language, as well as the applicable material law which fits best to the existing litigation. Arbitration is a matter of a chosen procedure per contract which leads to a conclusion of a law suit in a private court, instead of bringing it to a general court. Conditionally to compliance with the rules, which are provided from a fair proceeding, as well as converse parties’ agreements, the arbitration lawyers are not bound to Civil Procedure Law. They are able to make decisions without being bounded to the material law; indeed, the exception of the rules connected to the Order Public.