The BSP Algorithm, or Bulk Synchronous Parallel Algorithm, is a parallel computing model designed to simplify the development of algorithms for distributed systems. It divides computation into a series of supersteps, where each superstep consists of local computations, communication between processes, and a synchronization phase. This structure allows for efficient management of data and resources across multiple processors. In the BSP model, each process can perform computations independently during the local phase, but must synchronize with others before moving to the next superstep. This approach helps in minimizing communication overhead and ensures that all processes are aligned, making it easier to design scalable parallel algorithms for complex problems.