The computing methods of determinant rely much on techniques.Theoretically, each determinant can be computed by the definition of determinant.However, it is sometimes impossible to indirectly compute by the definition, rather than by computer, Therefore, it is very necessary and meaningful to discuss the computing methods of determinant.Based on the computing methods of the determinant and the analysis of test questions' characteristics for higher algebra in master graduate entrance exam,in this paper, I futher study and discuss some computing methods and skills of the determinant. Theremore, I summarize ten methods and skills as following:the method by definition, transforming triangular determinant, transforming the known determinant, rolling elimination technique, splitting method, bordering determinant ,induction method, recursiving relegation method, the important conclusions and formulas, and eigenvalue method.