The article contains analysis of the norm concept in the base of the semantic category of the same name. The research is carried out on the material of Russian lexical units and derivatives. In the article the norm concept and the norm semantic category are considered in the aspects of quantity and quality. Some category characteristics and certain varieties of norms are described. The article consists of four parts. In the beginning of the article the norm category semantics is described and conditions for its formation are indicated. The universal category characteristics of the norm are described and the main principles of the norm semantic category are given. The universal category characteristics are systems organization, distribution, formal definition, stability, reproducibility, optimality and bilaterality. The main principles of the norm semantic category organization are employment of antonyms and evaluation. Accounting for these principles, it is possible to select four groups, indicating the norm and anomalies of lexical units. Each group is discussed in the article. In the first part of the paper the semantics of the word норма (norm, standard) and its derivates is analysed. It is established that the norm concept has quantitative and qualitative aspects. The word норма and its derivates acquire evaluation semantics when naming anomalies or when parts of phraseological units. The second part of the article is devoted to the analysis of the semantics of the word порядок (order) and its derivates. In this part of the paper, synonyms of this word are studied. These lexical units are actively used for naming anomalies. It is conditioned by this words meaning. In the third part of the paper a comparative analysis of synonyms правильный (correct) and верный (right) and its derivates is carried out with the purpose of revealing reasons of their evaluative meanings formation. The word правильный and its derivates indicate mainly technical norms; the word верный is more connected with logical truths. The fourth part of the article contains a description of the semantics of the word лад (harmony, concord) and its derivates. The derivates generally have evaluative semantics of positive connotation and an ability to indicate a large number of various situations. In the article some types of norms are named and the role of the analysed words for these norms indications is described. In the final part of the paper specific features of the norm category characteristics in word meanings are described.