Today, information technology is used in all spheres of human activity, it can greatly simplify the processes that require routine, physical, computational tasks in people’s everyday life and in their production activities. Models and methods that form the basis of information technology impacted by continuous improvement, and this gives more and more new opportunities where they could be applied in practice. Particularly in such areas as artificial intelligence, because each person, for example, uses such indisputable and simply necessary assistants as large electrical appliances that have an intellectual component (refrigerators, washing machines, etc.). And the evolution of artificial intelligence does not stop there, and here we must mention such an important area of human life as recreation. This type of pastime means its classic manifestation, without the use of expensive gadgets, watching various programs on TV or the Internet and even not doing sports at home or outdoors. We mean an intellectual holiday, based on the usual favorite art book, which is read with the sounds of a pleasant melody, with beautiful illustrations, and now, by the way, for some time in scientific circles there is talk of using models and methods to create a creative product. by which is meant a written poem, a literary prose work, a painted picture, and so on. That is, the performance of those tasks that are traditionally attributed only to geniuses, artists throughout the history of human existence. In this article it is offered to consider directions in which researches in creation of a creative product by computers (machines) at use of methods of artificial intelligence take place today. Also briefly described approaches that describe the most advanced ideas for realizing the creative potential of computer machines.