Personality is strongly influenced by motivation systems that organise responses to rewards and punishments and that drive approach and avoidance behavior. Neuropsychological research has identified: (a) two avoidance systems, one related to pure active avoidance and escape, and one to passive avoidance and behavioral inhibition produced by goal‐conflict; and (b) two approach systems, one related to the actions of reward seeking and one to experience and behavior related to pleasure on receiving reward. These systems mediate fluid moment‐by‐moment reactions to changing stimuli, with relatively stable person‐specific sensitivities to these stimuli manifested in personality traits. We review what is known about these motivational traits, integrating the theory‐driven approach based on animal learning paradigms with the empirical tradition of the Big Five personality model.