This paper proposes a novel anonymous coordination authentication scenario for Grid computing security based on Trusted Computing technology, which can provide efficient and reliable anonymous identity authentication and remote platform attestation for Grid computing systems. The scenario gives a method of tagging the rogue Grid entities. Architecture of virtual organization in distributed Grid system is introduced and a Reference Trusted Agent (RTA) with time self-authentication feature using Platform Configuration Register is built into the architecture. The hierarchy of RTA in the software and hardware system, which consists of three main modules, is pointed out in detail. Furthermore, the exchanging protocol of building trust in the mutual system platform is explained. A detailed description for enforcing the security of platform access control and applications is given. The scenario is interpreted in detail through five steps, then an example of the scenario is given and the security mechanisms are compared to GT2, GT3, GT4 and Trust Management.