There are two main approaches to hardware-software realization of imitative thinking of cognitive robots. On the basis of machine learning. Such cognitive robots are used in services industry, for the commercial and entertaining purposes. In article approach to creation of cognitive robots on the basis of modeling of communicative and associative logic of imitative thinking of the person is considered. Cognitive robots on the basis of modeling of communicative and associative logic of imitative thinking of the person are used as lecturers and consultants. also in professional activity when concepts and competences are strictly defined. The communicative and associative logic of thinking allows to create the symbolical conceiving robot capable to study, realize information requirements (tasks), to train subject areas, to communicate with the help of the speech, to read and write in various languages. The robot on the basis of symbolical language communicative logic solves a problem of the automated imitation of imitative thinking with associative and communicative symbolical language elements of knowledge. The main practical objectives of imitation of imitative thinking are drawing up the intrinsic focused dictionaries of the developed subject domains of knowledge and standard information requirements; drawing up standard procedures of realization of information requirements; formation of networks from communicative and associative symbolical language elements of knowledge of subject domains; expansion of a natural language to functional; creation of systems of speech and text communication in a natural language and recognitions of the speech of interlocutors.