It has generally been argued that irony implies a certain discrepancy in meaning. Moreover, recent literary and pragmatic views on the interpretation of irony seem to have agreed upon the role played by inference, thus stressing the fact that traditional models of communication fall short to account for the dexterity of possible meanings that may be conveyed. It may be said that the inferentially based relevance approach to communication has been offering fruitful insights into the understanding of irony. However, perhaps not so many suggestions have been made on the problems and possible recurrent traits in the translation of irony. The present paper sets out to explore some of the problems that have been traced in the translation of irony. The relevance analyses of irony and of translation is then sketched, with a view to testing whether the relevance proposals on communication and translation can shed some light upon these issues.