<p>This article addresses the leaderless consensus problem in a second-order discrete-time system by using a saturated event-triggered impulsive control strategy without velocity information. Comparing with traditional impulsive control, event-triggered impulsive control overcomes the problem of fixed impulsive intervals in impulsive control. This control scheme combines saturation constraints with event-triggered impulsive control to limit the magnitude of control inputs within a reasonable range, thereby avoiding device overload. Event-triggered impulsive control can respond to instantaneous changes in the device and quickly adjust the control inputs to prevent the device from being impacted by excessively large instantaneous impulses. At the same time, saturation constraints can ensure that the control inputs do not exceed the safe operating range of the device, thereby ensuring stable device operation. In practical situations, obtaining velocity information directly is often challenging, so this strategy relies solely on position information. Compared to communication protocols that require both position and velocity data, this approach achieves consensus in second-order systems while eliminating the need for velocity information processing and reducing the high costs associated with velocity sensors. Several sufficient conditions are derived using the Lyapunov stability theorem, and the proposed theory is validated through two illustrative examples.</p>