In any multi–device / party systems supporting GRID and cloud-based applications, an essential constraint of these systems is the need of all tools and participants to interconnect with each other as members of a group in a secure approach. Group key management method is an essential functional element for any protected distributed communication setting. Key distribution method is a crucial factor in securing communication in grid computing. After the secure key management is executed, messages will be able to be securely exchanged between the grid units. A number of protocols have been proposed to maintain secure group key management. In this paper we present a new password base protocol for secure group key management in Grid computing environment, which is organized in two dynamic servicing layers: the grid application that needs grid services, and the grid services that act on behalf of the user.