<正>The reliability analysis of a system with repairable failures and non-repairable failures is presented.It is assumed that the system has n repairable failure modes and m non-repairable failure modes.As one repairable failure mode takes place,the system will be repaired after the failure mode is detected,otherwise,it would never work again when attaining one non-repairable failure mode.Thus,the system brings about new reliability indices for having both repairable failures and non-repairable failures.The definitions of the new reliability indices are given,and the calculating methods for them are derived by using probability analysis and the supplementary variable technique.