Abstract: A new type of chaos synchronization,the hybrid tracking synchronization,was proposed under the framework of drive-response systems.The hybrid tracking synchronization requires that the dimensions of response system are greater than that of the drive system.It realized the synchronization for part of the variables of the response system and the drive system with the other variables tracked to the given state function simultaneously.Based on the nonlinear feedback control technique,the hybrid tracking synchronization of hyperchaotic Liu system was investigated.The Lyapunov stability theorem was used to draw the conclusion and the numerical simulations were given to demonstrate the effectiveness of the proposed method