For some applications, such as aircraft control, military communciations etc., we should have a larger mean time to failure (MTTF). This is whyN-modular redundancy (NMR) [1] is used instead of triple modular redundancy (TMR) [2] to increase the MTTF. However, the reliability of the fault-tolerance system decreases as the faulty modules increase. The reconfiguration 5MR [3] can improve this problem. It can tolerate up to three faulty modules in a 5MR system. But forN> 5, the design is more difficult and accordingly the hardware becomes more complicated. In the paper we introduce a general version of the reconfiguration NMR (GVRNMR) system. Not only does it simplify the design process, but it also decreases the hardware complexity.