The delayed synchronization of chaotic Lur'e system is studied. By constructing an appropriate augmented Lyapunov-Krasovskii functional, the augmented vector contains not only a single integral term and a double integral term, but also an augmented triple integral term. When estimating the derivative of the Lyapunov-Kra-sovskii functional, a free matrix is introduced through the zero equality. By using the integral inequality, the sufficient condition for the delayed synchronization of chaotic Lur'e systems is given in the form of linear matrix inequalities. Finally, numerical example demonstrates effectiveness of the proposed method.