The aims of this research was to describe the characteristics of reflective thinking process of the students in Grade X of Vocational High School of SMK Citra Medika Sukoharjo who have the high abilities in solving linear program problems. This research used qualitative case study approach. The data of research were gathered through task-based in-depth interview. The results of research were the characteristics of reflective thinking process of the students as follows the students with the high initial ability in Mathematics: (a) in the problem understanding phase, they were able to mention information of the problems and to explain what has been done; (b) in the problem-solving planning phase, they were able to identify the concept of the problems and to explain what has been done; (c) in the implementation of problem-solving plan phase, they were able to realize the mistakes and to fix them, to examine the truth of an argument, to employ the internal knowledge, to relate the information that they have known, and to communicate ideas with symbols instead of pictures or direct objects; and (d) in the reexamination phase, they were able to draw conclusions to return the answers back into the contexts and to explain what has been done.
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