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The given task-resource allocation algorithm only considers the independent task and homogeneous resource, and also do not mention task priority. In order to conquer their defects, a task-resource allocation model based on CT-RAG(Task-Resource Assignment Graph in Cloud Environment) and studying Quantum-behaved Particle Swarm was proposed. Firstly, the virtual CT-RAG and task priority was defined, and the initial solution was obtained by using CT-RAG. Then using the studying Quantum-behaved Particle Swarm to search the global optimum solution, every particle was installed studying machine, so it can change the action selection probability according to the fitness and finally converge to the global optimum solution. The simulation experiment shows the result in the solution in this paper can realize task-resource allocation in cloud environment, the optimal solution is 356.67, and compared with other methods, it has larger priority. 