This article discusses main approaches in the study of concept as a category of cognitive linguistics. Concept in the field of the cognitive linguistics can be observed as a unit of memory, also it is complex and multi-faceted phenomena. It has many varieties and types, defined and classified by linguocognitologists in completely different ways. The purpose of this article is to identify and characterize the main parameters of classification and typology of concept adopted in cognitive linguistics. Presentation of the materials carried out using the methods of comparison, analogy, and synthesis. As a result of this research, essential features of the concept were revealed with the greatest degree of completeness, and the most complete definition of the concept was proposed, combining the scientists' contradictory opinions. The relevance of this research is absence of complete definition for concept in cognitive and general linguistics.