This paper proposes a novel hybrid state estimation method. In traditional EMS (Energy Management System), the ordinary hybrid state estimation technique employs both conventional measurements from the SCADA (Supervisory Control and Data Acquisition) and PMU (Phasor Measurements Unit) measurements in the state estimation software. Alternatively PMU measurements can be added through a post-processing or pre-processing step with the results of traditional state estimator to obtain the final estimation results. While this paper presents a new two-step (hybrid/PMU) algorithm where the first step adopts a hybrid state estimation SCADA/PMU and the second step is a linear state estimation comprises PMU measurements and the state vector resulting from the first step; consequently a double hybridization is achieved. Alexandria (330 km north Cairo, Egypt) 22-bus system is used as case study. The simulation results demonstrate that the proposed algorithm enhances the precision and accuracy of state estimation greatly because the PMU measurements hybridize in two successively steps. Better dynamic behavior as compared with other state estimators is obtained.