The goals of learning mathematics are to develop thinking skills. But the results showed that critical thinking ability are still low and the lack of self confidence of students. Therefore we need a supportive learning, alternative learning is DAPIC (Define, Assess, Plan, Implement, and Communicate) Problem Solving with Realistic Mathematics Education approach. This study aims to find out whether the use of DAPIC Problem Solving with Realistic Mathematics Education approach was effective in critical thinking ability and self confidence. The method used is pretest and posttest of a controlled group, where 67 middle school students are used as research sample. The instrument used are valid and reliable. First stage of examination is normality and homogeneity test. Meanwhile, the hypothesis is tested by analyzing the parametrical statistic of proportion test, proportion difference test, t-test, independent sample t-test, and regression test. The result showed that DAPIC Problem Solving with Realistic Mathematics Education approach was effective in critical thinking ability and self confidence. Based on the results, DAPIC Problem Solving with Realistic Mathematics Education approach can be used as a choice to improve student learning outcomes, especially critical thinking skills and self confidence.