The main aim of our paper is to reveal and to ground scientifically the methods of development of teenager’s graphic skills in the process of artistically-designed activities that (methods) provide a high level of their artistic training. Significance, features and definition of such conceptions as graphic skills and artistically-designed activity has been examined. Therefore, we introduce a set of common didactic and special methods with regard to the material analysed. The complex of the introduced methods is being consistently applied in the course of fine arts and design classes within the children’s school of arts in Kazan (Russia). In conclusion, we make a clear message the methods that had been offered in our research provide a high level of development of teenager’s graphic skills in the process of artistically-designed activities.