This paper settles event-triggered synchronization and H∞ synchronization matters for two types of coupled delayed reaction-diffusion memristive neural networks (CDRDMNNs). First of all, several synchronization and H∞ synchronization conditions are acquired for CDRDMNNs with state coupling in virtue of exploiting Lyapunov stability theory in combination with proper controllers of the triggering event. Then, for CDRDMNNs with spatial diffusion coupling, event-triggered synchronization and H∞ synchronization are investigated as well. Finally, the correctness of the deduced synchronization and H∞synchronization results is verified by two given numerical examples.