The Earth Science Data Grid System (ESDGS) is a software in support of earth science data storage and access. It is built upon the Storage Resource Broker (SRB) data grid technology. We have developed a complete data grid system consistent of SRB server providing users uniform access to diverse storage resources in a heterogeneous computing environment and metadata catalog server (MCAT) managing the metadata associated with data set, users, and resources. We are also developing additional services of metadata managemenr, geospatial, temporal, and content-based indexing, and data processing prior to transferal, in response to the unique needs of Earth science applications. In this paper, we will describe the software architecture and components of the system, and use a practical example in support of storage and access of rainfall data from the Tropical Rainfall Measuring Mission (TRMM) to illustrate its functionality and features.