Construction method(构造法专业术语不了解,字面翻译哈) is an importantand basic mathematical methodswhich is widely applied inhigh school mathematics problem solving as a creative mathematical thought with significant importance. This paper mainly elaborates the meaning of construction method applied in mathematical problem solving in high school, of which will be great help to improve capabilities of analyzing and solving problems as well as skills of creative thinking for students. Next, the following examples will give us a detailed discussion on the application of Construction method, how to construct it, and how to achieve an unexpected results.