Making use of the flexibility of the combination resultant method, rapid elimination and the diversity of combination resultant derived polynomial, the author proposed an improved algorithm of constructing Bezout matrix, and the combination resultant method was applied in solving the nonlinear equations, inferring unknown relationship, parametric curve and surface implicitization, structural triangular column, etc. Compared with the original method to solve the problems by examples, combination resultant method is more simple and feasible.