A partition based Boolean satisfiability solving method is proposed. By partitioning a CNF(conjunctive normal form) formula into several clause groups, Boolean satisfiability problem can be divided into small sub-problems, hence reducing the complexity of the original problem. Meanwhile, the satisfiability of different clause group can be solved in parallel, thus further speeding up the decision procedure. For the formula that clause group partition cannot be generated directly, a clustering algorithm is given to cluster clauses into clusters so that clause group partition can be generated by eliminating common variables among clusters.