Goal of the research was analysis of the relation between personality styles and coping strategies. We examined coping strategies on three hierarchical levels which refers to R.S. Lazarus’s model of coping with stress and personality styles, which derived from J. Kuhl´s PSI theory. We analyzed data of 139 university students (55 males and 84 females). We found out, that the most frequent coping strategy was social support and problem focused engagement strategies, highest appearance showed optimistic, loyal and willing personality style. Main purpose of this research was investigation of the relation among personality styles and coping strategies. Personality styles characterized by positive emotivity (participating on production of certain behavior) correlated with engagement (active) coping strategies. Personality styles characterized by negative emotions (dampening volition and behavior) correlated above all to disengagement (insulative, avoiding) coping strategies.(Fulltext in Slovak.)