In a diary study we examined the relation between anger appraisals on the one hand, and the occurrence and intensity of anger experiences in frustrating situations on the other hand. The appraisals of frustration, other presence, other-accountability, and hostile intention are shown to be jointly sufficient for the occurrence of anger experience. Absence of one or more of these appraisals further results in a smaller proportion of anger occurrences, in lower anger intensities, and in both within- and between-person differences in anger occurrence. These results are interpreted in terms of anger experience as a categorical phenomenon for which the jointly sufficient set of appraisals acts as a cognitive point of reference. Willingness to go for anger categorisations in appraisal patterns that deviate from this cognitive point of reference is, at least in part, subject to dispositional individual differences.