Based on the exploration on talents cultivation model with innovation ability in mathematics and applied mathematics major in the university with the characteristics of finance and economics, this paper breaks the barrier between mathematics and finance and economics, highlights the integration between mathematics and the subject of finance and economics, and uses mathematical modeling and mathematical contest to connect the whole process of professional talents cultivation. According to the unique design of talents cultivation plan in mathematics and applied mathematics with the characteristics of finance and economics, by using subject contest to motivate the learning and innovation enthusiasm of the students, from the reform of teacher team construction, teaching contents, teaching methods, teaching manner, teaching process management, this paper generalizes practical measures and achievements in talents cultivation of professional pilot class in mathematics and applied mathematics of Chongqing Technology and Business University