In here we consider the problem of parallel execution of Join operation by a J2EE cluster. J2EE clusters are intended for coarse-grain distributed processing of multiple queries/business transactions over the Web. Thus, the possibility of using a J2EE cluster for fine-grain parallel computations (parallel Joins in our case) is intriguing and of practical interest. We have developed a new variant of the SFR algorithm for parallel computation of Cartesian Product in Join operations and proved its optimality in terms of communication/execution-time tradeoffs via a simple lower bound. Our experimental results show that despite the fact that J2EE is considered to be a platform that uses a complex interfaces and software entities, such as various types of Java beans, J2EE clusters can be efficiently used to execute Join operation in parallel.