In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnoselskii's fixed point theorem dealing with a sum of two mappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Cheung, Ren and Han [7].Subjclass : [2000] Primary 34K13, 34A34; Secondary 34K30, 34L30.