In this paper, we present a framework for various multiprocessor scheduling algorithms by minimal modification of current RealTime Specification for Java (RTSJ) [6]. Although the current version of RTSJ provides a secure platform and rich functionalities for real-time Java applications, it lacks multiprocessor support mechanisms, e.g., absence of functions to support processor affinity, to efficiently utilize multiple processing resources. For this reason, we establish a multiprocessor-aware scheduling framework by using system calls of operating systems to make use of processor affinity, FIFO scheduler, scheduling parameter settings, and precision sleep timer functions. In addition to the framework, we also take categorization taxonomy introduced by Carpenter et al. in [1], which generalizes multiprocessor scheduling algorithms on two criteria of migration degrees and priority change complexity. Then our experimental evaluation on the framework with each scheduler class in the categorization taxonomy shows the framework's runtime overhead, which proves the feasibility of our implementation.