The aim of the research was to determine what relations occur between the stress experienced by parents in the relationship with their children and the personality traits that they shape in them. Personal characteristics that parents shape in their children have been classified into metatraits described in the Circumplex of Personality model. The study was carried out on a sample of 319 parents of preschool children. Two data mining methods were used: text mining algorithms and cluster analysis carried out by data mining algorithms. Parents experiencing higher stress more often shaped Self-restraint (Delta Plus) personality features. They tried to ensure that their children did not develop Sensation-Seeking (Delta Minus) features associated with impulsivity and dominance over others. Parents experiencing lower parental stress developed Stability (Alpha Plus) qualities related to social adaptation in their children and tried to ensure that they did not develop the antisocial features of Disinhibition (Alpha Minus).