Paralleling techniques play an important role to decrease circuits' frequency and to satisfy requirements of delay and power cost,and have wide applications in communication signal processing.For LRS,a universal (1,N) paralleling method is presented by discussions on the system state equation and the output equation.And the computing arithmetic is identical for arbitrary parallel number.And a novel method for (M,N) paralleling realization is also presented in some conditions.For NLRS,the definition is given at first,and the paralleling method of linearization matrix method is presented by linearizing states' transfer.For the non-linear shift register,a novel paralleling method called generalizing delay operator method is presented.