Discourse analysis is an important approach in interpreting denotations beyond the surface meaning of a sentence. Two methods are embodied in this research to examine the underlying meaning of certain literary texts. Since the novel Anne of Green Gables by Lucy Montgomery still poorly explored, this paper investigates the language of selected contexts of the novel according to the theories of cooperative principle and conversational implicature. To clarify, the research sheds light on the nature of discourse in the novel using Grice's four conversational maxims. The violation of maxims can be explained with regard to the theory of conversational implicature. The findings of this paper demonstrate the efficiency of the applied theories. The results signify that all the maxims have been flouted among the selected parts of the novel. The overall assumption of maxims flouting in this novel is due to the protagonist‟s constant detachment of her real world. Such continuous demeanor indicates the protagonist‟s wishes of escaping her rough cruel life as an orphan and finding a refuge through her imaginative excursions.