This paper studies an Event Triggered Control (ETC) based on an interval observer for linear discrete time system subject to unknown bounded disturbance and measurement noise vectors. First, the analysis of the interval observer is presented. Then an Event triggered Control is designed using the two bounds of the interval observer to maintain system stabilization. The observer and ETC gains are calculated based on Lyapunov theory and convex conditions are formulated in Linear Matrix Inequality (LMI) form. Finally, the approach is illustrated by a numerical example to prove its effectiveness.