Abstract: JPSOL(J Parallel Solver Library for Numerical Algebra Problems) is introduced, including the software architecture, matrix vector data structure, three kinds of algorithm libraries (linear, nonlinear and eigenvalue) and domain specific solvers. Then, the high parallel scalability of JPSOL are demonstrated by the testing results of basic iterative methods. Finally, the effect and robustness of JPSOL are demonstrated by several typical practical applications.