The main objective of this work, we propose an approximate method to construct approximate solution of mixed additive hammerestein nonlinear volterra integral equations in the space Lp (p ~ 1). Using the linear polynomial operators, we replace the given equation by a nonlinear integral equation Hammerstein type with degenerate kernel, and taking the solution of it as an approximate solution to the given equation . the problem of solving the new equation is equivalent to that of solving a systam of nonlinear algebraic equations .