For the problems of equipment efficient support cooperative task allocation, which needs to consider support capability renewal mechanism, a hybrid task allocation method based on dynamic list scheduling (DLS) and binary chaotic invasive weed bat algorithm (BCIWBA) is proposed. The task needed to dispose is selected by DLS, then BCIWBA is designed to allocate the support unit to the selected task. First, global optimization ability and fast convergence performance at early stages of the iterations of the bat algorithm is utilized in global search. Then, partially optimal individuals are selected to integrate into invasive weed growth and reproduction, spatial dispersal and competitive exclusion mechanism in local search. Meanwhile, in order to coordinate the exploration and exploitation ability, the inertia weight and leaning factor are adjusted adaptively. Finally, chaotic searching of frequency, loudness and pulse emission rate interval are conducted to avoid the premature convergence. The simulation example show that the proposed method has better performance in convergence speed and solving precision with sequential logic task allocation.