The aim of this research is to know the effect of cognitive conflict learning model in comparison with conventional learning model toward mathematical critical thinking skill in terms of cognitive styles. The research is conducted in three junior high schools in Bukittinggi by limiting only two classes for each school. The classes are divided into control and experimental class. This research uses quasi experiment with non-equivalent control posttest only group design. Hypotheses tests for this research are Mann-Whitney U test and T test. Based on the data analysis results, students\' critical thinking skills that implemented the cognitive conflict learning model is better than conventional teaching.