Vibration suppression is one of the most important tasks for helicopter research. ACSR (Active Control of Structural Response) in time domain has turned out to be an effective technique to deal with this issue. In this paper, based on Least Square Principle and ACSR Principle, a multichannel delayed filtered-x FTF (Fast Transversal Filter) algorithm is developed for suppressing helicopter vibration. In order to keep the algorithm running in a stable and efficient state, DRR (Desired Response Reconstruction) technique is developed and a Constraint Stabilization Technique is firstly presented for the developed algorithm. Computer simulations are conducted on attenuating helicopter vibration and remarkable vibration reductions are achieved. The results demonstrate good properties of the obtained FTF algorithm in stability, robustness, convergence speed, tracking capability, etc.. They also show that time delay and DRR technique play important and effective roles in keeping ACSR system working efficiently.