Research has documented the important influence of anger expressions on negotiation processes and outcomes. Surprisingly, however, it remains an open question if this influence depends on a core characteristic of anger displays—the intensity with which anger is expressed. Results from two negotiation studies (N = 396) using different operationalizations of anger intensity, different negotiation procedures, and different subject populations demonstrated a curvilinear relationship between the intensity of the anger expression and the negotiation counterpart's concessions. In particular, moderate-intensity anger led to larger concessions than no anger because the anger expresser was perceived as tough, and high-intensity anger led to smaller concessions than moderate-intensity anger because the anger expression was perceived as inappropriate. Furthermore, expressing anger, and, in particular, high-intensity anger, reduced anger perceivers' subjective value outcomes in the form of negative feelings about the relationship. Theoretical contributions to research on anger, emotion, and negotiation are discussed.