Through combining the parallelism across the system with the parallelism across the method,parallel combined methods are constructed for the numerical solution of a class of partitionedstiff systems.Nonstiff equations are solved by an explicit linear multistep approach while an implicit linear multistep approach is used for the stiff part of the system.The order condition,convergence and stability are discussed.The numerical tests are conducted on a parallel computing system and the results demonstrate the method is effective for the class of partitioned stiff systems.