Abstract：Vold-Kalman-filtering order tracking (VKF_OT) is famous for its decoupling ability for crossing or close orders. However, the conventional decoupling approach for VKF_OT has two deficiencies in applications. First, it is a time consuming scheme. Second, it becomes invalid when the instantaneous frequencies of coupled order disturbances are unknown. A new approach for the decoupling of crossing orders for VKF_OT is proposed in this paper. It utilizes the independent component analysis (ICA) approach to separate the mixed observed data into the order components corresponding independent component and order-coupled disturbance independent components (ICs). Subsequently, VKF_OT is only applied to the separated order components corresponding independent component. The deficiencies such as the intensive computation and the instantaneous frequency of disturbance signals formation for the conventional decoupling method are avoided. Following the brief instruction on VKF_OT and ICA, the scheme of the proposed approach is presented. Simulations and tests are also introduced to evaluate the validity of the present approach.