Aiming at the problem that the wavelet packet adaptive control subband contains a large number of convolution and correlation operations, which leads to the slow convergence speed of the algorithm, the WPHB-FxLMS (wavelet packet based on Hartley block filtered-x least mean square ) algorithm was proposed. Fast Hartley transform was introduced into block algorithm to realize fast convolution and correlation operation in frequency domain. Hartley block algorithm was used to generate control signals in the subband, and WPHB-FxLMS algorithm was proposed through the overlapping reservation method. The vibration isolation performance and control effect under fixed frequency and fluctuant frequency working conditions were studied by simulation and experiment. The results show that the WPHB-FxLMS algorithm can not only greatly reduce the convergence time, but also significantly improve the control precision, which has good robustness and stability, and can be applied in engineering practice well.