The paper presents the preliminary results of testing the relationship of tolerance of uncertainty, intolerance of uncertainty and interpersonal intolerance of uncertainty and personality traits on a sample of 87 people. A review of foreign studies on the relationship between these constructs is given. Revised NEO Personality Inventory [Orel, Senin, 2004] and the New Questionnaire of Tolerance of Uncertainty [Kornilova, 2010] was used in order to test the relationship between personality traits and tolerance of uncertainty, intolerance of uncertainty and interpersonal intolerance of uncertainty.