Arbitration procedure is the way of dispute resolution by independent and impartial arbitrators that can be employed also for disputes concerning public procurements. The paper discusses the Procedure before the Arbitration Court attached to the Economic Chamber of the Czech Republic and Agricultural Chamber of the Czech Republic. It draws attention to the fact that the rules on contractual obligations which concern the claims of rights brought to court, courts, rules on court proceedings or court decisions, shall apply appropriately to the claiming of rights before Arbitration Court (arbitrator), rules on arbitration proceedings and/or arbitration award if they are based on a valid arbitration agreement (clause).