There are many possible applications of unmanned areal vehicle - multicopter, and each application has its own characteristics and therefore the differences in the dimensions and installed equipment of such an aircraft. There are many different requirements and characteristics of such an aircraft which requires an individual approach to solving technical problems related to the construction and management of these systems. This paper focuses on the application of multicopters for the purpose of the competition races of teams competing speed and agility of multicopters on a closed circuit specially prepared for such a race which is popularly called - "drone racing". In these races of crucial importance are the skills of pilot and construction of as light and as agile aircraft as possible, and precise and reliable method of remote control of aircraft. So, except piloting skills there is crucial importance of customization of quadcopter to the requirements of the pilot. This paper covers methods of control and kinematics of motion of multicopters, the main systems of racing quadrotors of class 250 and the components of these systems. The selection of the various components of the system are conducted and the logic of selection of dependent components is presented, and finally one test model of racing quadcopter is assembled . Legislation and regulation of the unmaned areal vehicles is also presented, and specially parts of the legislation which would be related to racing quadcopters.