<p>Accessing a quantum chip through a quantum cloud is currently the conventional way for most researchers using quantum computers. For limited quantum chip resources, improving the overall utilization rate of quantum chips can provide more advantages for users using a quantum computer. At present, the main method to improve resource utilization is multi-programming on a quantum chip, where multiple programs are executed on a quantum chip. In order to improve the efficiency of the quantum cloud system and shorten the task execution period, a multi-chip multi-task mapping scheduling framework was proposed. The framework is deployed in the later stages of quantum computing compilers. The framework can unify all candidate chips in the quantum cloud into a computing resource pool and allocate automatically computing resources to users in four phases, further simplifying the steps for users to use quantum computers. By experimental analysis, the framework improves system throughput by 73% and shortens per-task cycle time by 64%.</p>