The anchors in wireless network localization system suffer from the risk of location leakage, which may result in some catastrophic dangers. To preserve the location privacy of anchors, this letter proposes to hide the anchor’s position in range-based localization through a secret sharing method. By decomposing the private input of anchors into several secret shares and concealing it in the constant term of the secret polynomial, the location information of anchors cannot be disclosed by any other node in the network including the server, during the entire localization process. The performance of the proposed scheme in privacy preservation, positioning accuracy and efficiency improvement (i.e., low communication and computation costs) are evaluated through simulations.