Presently, E-commerce has developed rapidly as a result of many services and applications integrating e-commerce technologies offered online. Buyers can buy goods online and sellers can then deliver the goods to them. Logistics therefore plays an important role in online e-commerce applications, with a focus on rapid delivery, the integrity of goods, and the privacy of personal information. Previous studies have proposed secure mechanisms for the transfer of electronic cash and digital content, in which only the sender and the receiver know the secret information hidden in the signature. However, they did not consider requirements such as the anonymous and lightweight verification in the logistics architecture. Therefore, this study designs a secure logistics system, with anonymous and lightweight verification, in order to meet the following requirements: Mutual authentication, non-repudiation, anonymity, integrity and a low overhead for the logistics environment. A buyer could check the goods and know if the parcel has been exchanged by a malicious person. Moreover, the proposed scheme not only presents a solution to meet the logistics system's requirements, but also to reduce both computational and communication costs.