I suggest that the idea that conversational implicatures express argument can be significant for the notion of communicational responsibility. This underlying argument should be included in the reconstruction of conversational implicatures as a justification for the belief formed by the hearer on the basis of indirect communication. What makes this argument specifi c is the fact that its only explicit element is the speaker’s utterance taken as its initial premise. In order to reconstruct all the other elements, the hearer has to take into consideration factors such as the context and general knowledge of the shared language and the world. As the reconstruction of conversational implicatures in general, the reconstruction of implicatures as arguments is only potential. It is proposed that we should consider conversational implicatures as reason-giving arguments in which the speaker (arguer) addresses a hearer who does not need to reply. In those cases, the speaker is not trying to convince the hearer to accept his position but is explicitly stating a reason in support of his intended message. I believe that this approach can strengthen the idea of the speaker’s communicational responsibility for an implicated message even in the case when he wants to distance himself from it.