<p>In this paper, the global synchronization of quaternion-valued Lur’e systems is addressed. Based on quaternion multiplication rule, the chaotic quaternion-valued Lur’e system is transformed into a 4<i>n</i>-dimensional real-valued system. A hybrid event-triggered control scheme with additional waiting time is proposed to prevent the occurrence of the Zeno phenomenon. A piecewise time-dependent Lyapunov function is constructed to analyze the stability of the error system by using an improved integral inequality and Lyapunov stability theory. Based on the hybrid event-triggered control, a global asymptotic synchronization criterion of the quaternion-valued Lur’e system is derived by exploiting the continuity of the Lyapunov function. Numerical simulations demonstrate the effectiveness of the proposed scheme in achieving global synchronization between the drive and response systems.</p>