Introduction: The alternative model for personality disorders (AMPD) of the Diagnostic and Statistical Manual of Mental Disorders – 5th edition (DSM-5) considers impairments in empathy a basic feature of personality disorders (PDs). In contrast, the AMPD pathological personality trait model and the categorical DSM-5 Section II PD model associate deficits in empathy to specific forms of personality pathology. The present study investigated to what extent impairments in cognitive and emotional empathy are markers of general versus specific personality pathology. Methods: In a clinical sample (n = 119), the Multifaceted Empathy Test was used to assess cognitive empathy, emotional empathy for positive emotions, and emotional empathy for negative emotions. Personality functioning, pathological personality traits, and DSM-5 Section II PDs were assessed via interviews and self-reports. Confirmatory factor analyses were applied to associate the three empathy facets with the three personality pathology approaches, each modeled with general personality pathology (common factor) and specific personality pathology (residuals of indicators). Results: Impairments in cognitive empathy and emotional empathy for positive emotions were significantly correlated with general personality pathology. All three empathy facets were also correlated to specific personality pathology when controlling for general personality pathology, respectively. Impairments in cognitive empathy were incrementally associated with identity and empathy (personality functioning), psychoticism (pathological personality traits), and paranoid and dependent PD (DSM-5 Section II PDs). Deficits in emotional empathy for positive emotions were incrementally associated with self-direction and intimacy (personality functioning) and detachment (pathological personality traits). Impairments in emotional empathy for negative emotions were incrementally associated with antagonism (pathological personality traits) and antisocial PD (DSM-5 Section II PDs). Conclusion: The results suggest that impairments in cognitive empathy and emotional empathy for positive emotions, but not for negative emotions, are markers of general personality pathology, while deficits in the three empathy facets are also markers for specific personality pathology.