Positive emotionality, anhedonia, and reward sensitivity share motivational and experiential elements of approach motivation and pleasure. Earlier work has examined the interrelationships among these constructs from measures of extraversion. More recently, the Research Domain Criteria introduced the Positive Valence Systems as a primary dimension to better understand psychopathology. However, the suggested measures tapping this construct have not yet been integrated within the structural framework of personality, even at the level of self-report. Thus, this study conducted exploratory factor and exploratory bifactor analyses on 17 different dimensions relevant to approach motivation, spanning anhedonia, behavioral activation system functioning, and positive emotionality. Convergent validity of these dimensions is tested by examining associations with depressive symptoms. Relying on multiple indices of fit, our preferred model included a general factor along with specific factors of affiliation, positive emotion, assertiveness, and pleasure seeking. These factors demonstrated different patterns of association with depressive symptoms. We discuss the plausibility of this model and highlight important future directions for work on the structure of a broad Positive Valence Systems construct.