Trait anger is a personality construct that refers to stable individual differences in the propensity to experience anger as an emotional state. The objective of this paper is to review relevant empirical studies in order to determine whether the transdiagnostic cognitive processes that have been identified across the DSM-IV Axis I disorders (specifically, selective attention, memory biases, reasoning biases and recurrent negative thinking) are also an underlying characteristic of high trait anger. On the basis of the review it is concluded that, whilst the research base is limited, there is good evidence that high trait anger is associated with selective attention to hostile social cues, the tendency to interpret the behaviour of others as indicating potential hostility and the tendency to ruminate over past anger-provoking experiences. The range of cognitive processes identified in high trait anger is consistent with those identified in the Axis I disorders. It is concluded that these findings provide support for (i) the broad applicability of the transdiagnostic approach as a theoretical framework for understanding a range of psychological conditions, not limited to the Axis I disorders, and (ii) the validity of conceptualising high trait anger as an aspect of personality functioning that is maintained, at least in part, by cognitive processes. Cognitive and motivational factors (specifically, beliefs and goals) that may underlie the hostile information-processing biases and recurrent negative thinking associated with high trait anger are discussed, and consideration is given to the clinical relevance of the findings of the review.