The article is written in the aspect of cognitive research of sign language. For the first time, it examines the sign language of the Republic of Khakassia, which is one of the regional variants of the Russian sign language, requiring serious scientific attention, detailed linguistic analysis and, as a result, official documentation. The article describes the specifics of gestural conceptualization as conceptualization within the framework of a special semiotic system that functions as a language of communication for a social group of deaf and hard of hearing people. The main identified ways of conceptualizing emotions and feelings are analyzed, the leading way of conceptualizing is substantiated. The described specificity of the conceptualization of the category of “emotions and feelings” in the sign language of Khakassia raises the question of the need for further study of both this regional variant of the Russian sign language and other regional variants. This, in turn, will make it possible to describe sign language in a scientific aspect and use these descriptions to solve many issues related to the successful social adaptation of deaf and hard of hearing people, the development of a national sign language norm, etc.