In an ideal ubiquitous network, everyone can access the Internet when some connectivity exists there. A network administrator is supposed to provide a connection to public visitors securely. In this paper, we propose a secure public wireless Internet service model using Host identity Protocol (HIP). Services based on the model allow everyone to provide a connection. We give some consideration to its risks. Our goal is to implement and evaluate the model. The network administrator is responsible for tracing malicious users who attempt to access a global network. We call this traceability ensurance. In conventional Internet access services, a malicious user who has attacked someone can make excuses and may put the blame on the network administrator. The network administrator wants to prove that he himself has not committed malicious accesses, and to make sure that the malicious user cannot put the blame on others, that is, nonrepudiation should be ensured. To authenticate users, the network administrator needs to manage many accounts and take logs. If a malicious user attacks a correspondent, he or she may raise a complaint to the administrator. They are the burden for the network administrator. Our model ensures the traceability of users and the nonrepudiation. Our model also reduces the management work of network administrators. Installation cost of our model is low because we apply HIP without any modification, thus the network administrator can provide and the users can use the network securely without adopting a complex system. To protect from some attacks, we implement a gateway system. As a qualitative evaluation, we confirm that the system works in the real environment.