Combining anti-synchronization with lag synchronization,a novel kind of inverse lag synchronization is proposed. Moreover,based on state observer,a response system is constructed. The error system is global asymptotically stable at the origin by using the pole placement technique,and inverse lag synchronization occurs. The Chen's system and Chua's circuit are used as illustrative examples for verification.With the preconcerted eigenvalues,the synchronized response system is obtained via the pole placement technique. Numerical simulations verify the effectiveness of the proposed method.