The aim of this paper is to improve the generated manner of P-sets string to obtain a recursive structure of information. This paper proposes the concept of P-Recursion Information (Packet Recursion Information, PRI) by improving the generated manner of P-sets string into the recursion generated manner. PRI is composed of P Inward-Recursion Information (Packet Inward-Recursion Information, PIRI) and P Outward-Recursion Information (Packet Outward-Recursion Information, PORI). The base information of PRI has dynamic characteristics. Furthermore, this paper presents the structure about PRI and proposes the concepts of P Inward-Recursion Information Core (PIRIC), P Outward-Recursion Information Shell (PORIS) as well as the Recursion Search Ring (RSR).