This paper presents a clarification for and a discussion of ''criticism's'' concept in one of the trends of discourse analysis, namely Critical Discourse Analysis. In doing so, an illustration of the dimensions and meanings of this concept is provided both in theory and practice. Here the researcher investigates conceptual metaphor in the media discourse that is against immigration. The aim is to make widespread influences of conceptual metaphor in media discourse clear; which would indicate the powerfulness of critical analysis in fighting these kinds of influences unveiling their negative manifestations and suggesting other positive alternatives for them.