In this paper, Researchers study the stability and convergence for second kind mixed Volterra fredholm integral equation (SKMVFIE). Researcher introduce and prove several new theorems regarding the convergence of the iteration approach, driving the sufficient conditions for iterative technique this condition is very important, because it helps to understand that the numerical solutions convergent to the exact solution of the problems and to find the convergence interval for the main problems in the integral equation. Also, by this sufficient condition we can decide that the iterative technic is converging or diverging to the exact solution or not. This iterative process was supported by solving several numerical examples but in this work we wrote only two examples. In these examples, illustrated bounded and convergence intervals. Also, if the mapping Z satisfies the convergence condition, then it has a fixed point. Finally, supporting the new approach with examples that demonstrate its ability and efficiency.