As an important part of the higher education, the mathematics courses in university serve for cultivating the application consciousness and application ability of mathematics for university students. This paper clarifies the basic concept and characteristic of the application consciousness and application ability in the field of college mathematics, then analyzes the cultivation situation and existing problems, and finally proposes the cultivation approach of the application consciousness and application ability based on the literature review method. This method has the following characteristics: putting study into practice, all students involved, consciousness enhancement, ability improvement. Beneficial from the literature review training, most students improved a lot in the application consciousness and application ability of mathematics. After the second literature review training, almost all the students have the primary application consciousness and half of students have the primary application ability, which demonstrates the great advantage of literature review method in cultivating students" mathematics application consciousness and application ability.