The main aim of this article is to study the correlation between the variational iteration method and fixed-point iteration. The variational iteration method is an analytical technique for linear or non-linear problems and we compare it with one fixed-point iteration called Picard iteration. On the other hand, considering inhomogeneous ordinary differential equation or inhomogeneous partial differential equation, Green's function is a technique to solve these equations. We applied its special properties to deduce this correlation for initial value problems. Our result can be applied to boundary value problems. Furthermore, the selection of fixed-point iteration can be replaced.