In this paper, we address the observer based control problem for SISO (Single-Input/Single-Output) LTI (Linear Time Invariant) system subject to delay in the measurement data. The proposed design approach includes two steps: first, by using a partial pole placement approach based on the MID (Multiplicity-Induced-Dominancy) property, we construct a delaybased controller guaranteeing the stability of the closed-loop system. Second, we exploit the control gain to determine the observer-controller matrices. The effectiveness of the proposed methodology is illustrated through the problem of stabilizing a double integrator and of a windtunnel system with delayed feedback.