In addressing the issue of multiple common-cause failures in safety assessments of Logic Control Units (LCU), research is conducted on the redundant structure and safety assessment methods of LCU. The double 2-out-of-2 redundancy structure is employed in the hardware redundancy design of LCU to enhance safety. The Markov method is used to assess the safety of LCU, where system states are divided based on hardware structure and redundancy strategies. To address the inadequacy of β factor models in common-cause failure that do not consider multiple common-cause failures, structural factors are employed for optimization. Independent failure and common-cause failure Markov state transition model are established respectively, and consequently, the safety assessment model of LCU considering multiple common-cause failures has been established. Simulation results indicate that considering multiple common-cause failures leads to more conservative safety assessment outcomes for LCU; both the fault coverage and common-cause failures of undetectable faults impact the safety of LCU. The research provides theoretical reference for the development and safety assessment of high-security performance LCU.