The spherically symmetric solution for some of f(R) gravity models such as f(R) = R + h(R), where is a small parameter, is investigated. It is shown that, in the weak field limit, the standard Newtonian potential is corrected by a small term. The correction terms depend to h(R) and all of them tend to zero when ! 0. For the considered models, we determine the space-time metric which reduce to general relativity in the ! 0 limit. Some investigations on the physical consequences of such models are addressed. Keywords: Spherically symmetric solution; f(R) gravity; Modified gravity.
