<p>This paper explores the consensus issue in second-order multi-agent systems within the framework of event-triggered control. A novel predefined-time event-triggering control approach is introduced to facilitate consensus in systems with parameter uncertainties. Additionally, a new predefined-time stability theorem is presented, with an in-depth analysis of its accuracy and practicality. This theorem offers a versatile predefined time frame, offering advantages over existing stability theorems and simplifying the conditions for the Lyapunov function, thereby enhancing its real-world applicability. Furthermore, a fresh event-trigger controller is designed, accompanied by a time-trigger condition that initiates triggering upon meeting specific criteria. To validate the theoretical analysis, comparative simulations under diverse parameter settings are conducted, highlighting the proposed strategy’s benefits regarding rapid convergence, communication resource economy, and flexible parameter configuration.</p>