In the DSM-5 Alternative Model of Personality Disorders (AMPD), psychopathy is marked by the presence of attention seeking, low anxiousness, and lack of social withdrawal, along with traits from the domains of Antagonism and Disinhibition. The triarchic model of psychopathy (TriPM) posits three biobehaviorally based traits underlying it: disinhibition, meanness, and boldness. The current study directly compared relations for measures of the two models with the broad dimensions of externalizing, internalizing, and positive adjustment. Participants (1,678 adults) were surveyed regarding maladaptive personality traits, clinical symptoms, and positive adjustment features. The TriPM model explained more variance than the AMPD in substance use, positive adjustment, and empathy, whereas the AMPD model explained more variance in internalizing symptoms. In addition, AMPD Antagonism and the Psychopathy Specifier diverged from TriPM Meanness and Boldness in their associations with some specific outcomes. Overall, our study provides evidence for complementarity of the two models in characterizing the multifaceted nature of psychopathy.