Critical thinking is an embodiment of high level thinking. The purposes of this research were to know that the critical thinking ability of class VIII SMP Negeri 1 Wangon on Problem Posing passes the learning completeness grade, the critical thinking ability of class VIII SMP Negeri 1 Wangon on Problem Posing is better than Direct Instruction, and to describe the students’ critical thinking ability through Problem Posing seen from the students’ curiosity. The results showed that: 1) critical thinking ability of class VIII SMP Negeri 1 Wangon on Problem Posing pass the learning completeness grade; 2) critical thinking ability of class VIII SMP Negeri 1 Wangon on Problem Posing is better than Direct Instruction; 3) subject with high curiosity are able to accomplish 6 indikators, while the subject with medium curiosity are able to accomplish 5 indikators, and subject with low curiosity are able to accomplish 3 indikators.