The meaning of success in conversation depends on people's goals. Often, individuals pursue multiple goals simultaneously, such as establishing shared understanding, making a favorable impression, having fun, or persuading a conversation partner. In this article, we introduce a novel theoretical framework, the Conversational Circumplex, to classify conversational motives along two key dimensions: 1) informational: the extent to which a speaker's motive focuses on giving and/or receiving accurate information; and 2) relational: the extent to which a speaker's motive focuses on building the relationship. We use the Conversational Circumplex to underscore the multiplicity of conversational goals that people hold and highlight the potential for individuals to have conflicting conversational goals (both intrapersonally and interpersonally) that make successful conversation a difficult challenge.