The Internet of Things (IoT) is an emerging network paradigm, and realizes the interconnection among ubiquitous things, along with its corresponding applications and services in both Physical-world and Cyber-world. Some researches have been worked on IoT modeling and addressing, which are mainly based on objects with a unique identifier (ID). However, in practical scenarios, there are several objects without any available ID, namely non-ID (i.e., nID) physical objects, including the objects unattached any ID itself, and the objects attached unreadable or un-trusted ID. It turns out that the nID physical objects related issues become noteworthy. In this paper, we focus on the nID physical objects to present a modeling and addressing solution. Concretely, (1) nID physical objects are described along with the discussion of applying nID solution; (2) a tree-like code structure (i.e., Tree-Code) is introduced to establish a unified modeling scheme for the nID physical objects according to abstracted data elements, and also achieves the compatibility with the ID physical objects considering the ID based data elements; (3) Tree-Code based addressing scheme is