This type of research is qualitative, aimed to find out the exploration of mathematical intuition and its role in solving mathematical problems. The research method is done by collecting data through mathematical problem-solving test according to Polya stages, then conducted an in-depth interview on the subject. In the interview process whether the subject explores and gives the role of mathematical intuition in solving mathematical problems or not at each stage of problem-solving with stages polya. The subject of the study was female students of mathematics education program of the Muhammadiyah University of Cirebon. Research subject of one student semester one. The result of the research shows the mathematical exploration of intuition and its role in solving mathematical problems: (1) The subject of the student when given the first problem, in solving mathematical problems using the exploration of intuition and its role in solving mathematical problems, in making problem solving plan, student subject using intuition exploration whose role is straightforward, in making plans and implementing mathematical problem solving, the subject of the student does not use intuition exploration, in re-examining the answer the subject tends to use the intuition exloration, (2) the female subject when given the second question; in understanding mathematical problems, not using intuition, exploration, in making plans and implementing problem-solving and re-examining problem-solving, the subject uses an affirmative intuitive exploration. In this study changes in intuition exploration will occur its role in the math problem-solving phase from start to understand the problem, in making plans and implement problem-solving, and in re-examine the solution of mathematical problems, the subject often changes in intuition exploration.