In this paper, we proposed a RSS based cooperative localization algorithm using VRN for wireless sensor networks, which can estimate the BN position. The proposed localization system monitoring all nodes estimates a position of BN, and calculates an intersection area with cooperative localization. From the results, we confirm that BN intersection area is reduced as the number of RN is increased. In addition, the fewer RN exists, the more iteration needs at least 4 times. Moreover, the propose algorithm using 4 RNs is improved 71.6% estimation performance than conventional method. Therefore, the cooperative localization algorithm with VRN provides higher localization accuracy than RSS based conventional method.