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This study aimed to describe critical thinking skills in integral calculus lecture based on mathematical dispositions. This research used descriptive exploratory methods with instruments: test, scale, observation, and documentation. Data was taken from 105 undergraduate students from the mathematics education study program at a university in Central Java. Critical thinking skills are determined by using four indicators: analyzing problems, concluding and giving explanation, evaluating, and choosing problem-solving strategies. The results showed that: (1) there are no students with high and moderate negative mathematical dispositions; (2) students with low negative mathematical dispositions have poor abilities in evaluating and choosing strategies, and marginally adequate abilities in analyzing and explaining; (3) students with low positive mathematical dispositions have marginally adequate ability in analyzing, adequate abilities in explaining and choosing strategies, and good ability in evaluating; (4) students with moderate positive mathematical dispositions have adequate abilities in explaining and choosing strategies, and good ability in analyzing and evaluating; and (5) students with high positive mathematical dispositions have good abilities in analyzing, explaining, evaluating, and choosing strategies. There was a tendency of increasing achievement on indicators of critical thinking skills based on mathematical dispositions.