To solve the cooperative task allocation of multiple agent groups, the task, agents group and process variables are defined. The mathematical model in pursuit of maximal task execute efficiency is established. The wastage of group resource capability is introduced in the process of problem modeling. A hybrid approach to the problem based on dynamic list scheduling(DLS) and the quantum genetic algorithm(QGA) is proposed. In the DLS-QGA algorithm, DLS is used to select the task needed to dispose, then QGA is used to select the best group for the selected task. Finally, the superiority and applicability of this approach are illuminated by the simulation of campaign assumption, and the scheme can be better and more steadily in task allocation with time-logic.