Considering that the standard Cardinality Balanced Multi-Target Multi-Bernoulli (CBMeMBer) filter cannot track multiple maneuvering targets effectively in the clutter environment, a new tracking algorithm of maneuvering targets is proposed, which combines the CBMeMBer filter with the adaptive current statistical model. In the new algorithm, the dimension of the target state vector is augmented, the state transition matrix and the process noise covariance are adjusted, and the control matrix is attached. Then the targets’ acceleration can be adjusted adaptively. Finally, the new algorithm can adapt to the change of the targets’ moving state. Simulation results show that the proposed algorithm can track multiple maneuvering targets effectively, which has higher tracking accuracy in the maneuvering condition.