This object of research is to compare the computation solution of two numerical methods. The methods were Jacobi iteration method and Guass-Seidel iteration method for the stickslip problem at die of the extrusion process. The Navier-Stokes equation was analysed by finite element method of semi implicit Taylor-Galerkin/pressure-correction scheme to approximate velocity and pressure for Newtonian fluid in two dimentional cylindrical coordinate system. Solution accuracy was improved by the gradient recovery technique. The convergence analysis revealed that Guass-Seidel method approach to exact solution was better than Jacobi iteration method that is because Guass-Seidel iteration method had less solution than Jacobi iteration method.