Abstract: The problem addressed is how applying a continuous-time homogeneous Markov process to evaluate availability, reliability and MTTF for circular consecutive-k-out-of-n:G system with repairman. In this study, assumed that the working time and the repair time of each component are arbitrarily distributed and every component after repair is as good as new. Each component is classified as either a key component or an ordinary one according to its priority role to the system repair. When the system displays a gradual degradation of its performance, its availability and reliability are then analyzed in terms of fuzzy success states. Key components have priority in repair when failed. By using a continuous-time homogeneous Markov process and the definition of the generalized transition probability, the state transition probabilities of the system are derived. Circular consecutive-7-out-of-10:G system with r repairman for an example is given to show the performance of the model.