The problem of multiple Autonomous Underwater Vehicles (AUV) collaborative task allocation for information acquisition in the underwater detection network was researched. Firstly, a comprehensive model of underwater acoustic monitoring network system was constructed considering the influence of network system sensor nodes status and communication channel status synthetically. Secondly, because of the multi-interference factors under water, with the inaccuracy of the model generation considered, and the multi-AUV task allocation system was modeled as a robust Restless Bandits Problem (RBP) based on the theory of reinforce learning. Lastly, the robust Whittle algorithm was proposed to solve the RBP problem to get the task allocation policy of multi-AUV. Simulation results show that when the system selected 1, 2 and 3 targets, the system cumulative return performance of the robust allocation policy improves by 5.5%, 12.3% and 9.6% respectively compared with that of the allocation strategy without interference factors considered, proving the effectiveness of the proposed approaches.