the purpose of this research is to know the ability of critical thinking of students in problem solving based on gender, personality and critical thinking in solving the problem. This research used qualitative descriptive that conducted at SMP Muhammadiyah 8 in Batu, and the students of VII grade as subject and the object is critical thinking skill in problem solving. It used Eysenck Personality inventory-A (EPI-A) test for the instrument which conducted in the first meeting to all students, problem solving test was given to 6 extrovert girls, and interview. Problem solving strategy used to know critical thinking skill by giving personality EPI-A test in the first meeting on students of VII grades to find respondents 6 extrovert girls. After finding the respondents, the next step is giving problem solving test. The researcher interviewed the result of respondents. Findings showed that: 1) High critical thinking of extrovert girls were not success in strategy step, only in alternative solution 2) Moderate critical thinking of extrovert girls were not success and inference step was success in writing skill, but when they were asked to explain it, they were not able to do it so they did not pass the strategy step. 3) Low critical thinking of extrovert girls was not success for inference and strategy step.