The problem of cloud computing processors failure cannot be ignored in the cloud environment. Fault-tolerance becomes a key requirement in the design and development of cloud computing systems. Aiming at the problem of low scheduling efficiency and single type of task in most fault-tolerant scheduling algorithms, the fault-tolerant scheduling method based on processors, primary-backup copies of hybrid tasks grouped was proposed. A method to determine whether two backup copies can overlap was presented. What's more, the calculation formulas of periodic task worst-case response time and completion time of aperiodic tasks preemptive execution were given. The simulation result shows that the proposed algorithm has a remarkable saving of cloud computing system processors needed and scheduling computation time compared with Hybrid real time task Fault Tolerant Scheduling (HFTS) algorithm. It is of great significance for improving the reliability of cloud system and the schedulability of real-time tasks set, as well as the processor efficiency.