This chapter gives an overview of the conception(s) of linguistic normativity in Cognitive Linguistics (CL) and the contributions of CL to the study of normativity on the level of language use (discourse). While normativity has never been a central concern of CL, it is most relevant - though in quite different ways - for both cognitive semantics and cognitive grammar models. The concept of sign of those grammar models is based on the assumption that the linguistic units which constitute a language do not only exist as entrenched units in speakers' minds but also as conventional units by virtue of being shared in a speech community. Cognitive semantics, on the other hand, is most relevant in the field of cognitive language criticism (Sprachkritik) and its application to the analysis of public discourse ("political correctness", "gender-neutral language").