TRIZ is a comprehensive theoretical system composed of a variety of methods and algorithms to solve technical problems and achieve innovative development. In this paper, the definition of TRIZ theory, ideality and the problem-solving methods in TRIZ including physical contradictions and technical contradictions, 39 general engineering parameters and contradiction matrix were firstly explained, and then in order to solve the existing problems of high energy consumption and small power in cutting part with Shearer, the TRIZ theory and the Computer Aided Software Pro/Innovator were applied to design innovation scheme. The Ideality of the technical system was defined. From the expression, the contradictions were revealed in improving the degree of ideality. To make the technical problem further solved, it was analyzed and decomposed in the three directions of system, operation, cause and effect. According to the specific decomposed result, the parameters of improvement and subsequent deterioration from the view of ideality were analyzed and determined, and finally the innovation schemes of cutting part were put forward using the tool of contradiction matrix and innovative principles.