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Abstract. This study aims to determine the mathematical critical thinking skills and the level of self-confidence of high school students in solving vector problems. Mathematical critical thinking skills and self-confidence are basic capital that students must have so students are confident in solving each vector problem based on critical thinking processes. This type of research is qualitative descriptive. Participants in this study were high school students of class X IPA in one of the public high schools in the city of Cimahi consisting of 30 students who were determined by purposive sampling technique. The instruments in this study were researchers as the main instruments and supporting instruments, namely the test questions of mathematical critical thinking skills of high school students in vector chapter consisting of 5 items, a self-confidence scale consisting of 30 statements, and interview guidelines. The results obtained from this study are students have low critical thinking skills and medium self-confidence. The low level of critical thinking is caused by students being unable to provide reasons, evaluate answers and identify data / concepts / definitions. Suggestions for further research are habituation of students with mathematical critical thinking skills