In this paper, we propose the parallel scrambling technique which is applicable in the multibit-interleaved multiplexing environment. For this, we introduce the concept of SSRG (simple shift register generator) and MSRG(modular shift register generator), and investigate their properties. We also introduce the concept of PSRG(parallel shift register generator) - parallel form of shift register generator, and consider realizations of PSRGs based on SSRGs and MSRGs. Finally, we show how to apply PSRGs to the parallel scrambling for the SDH system.