This paper introduces a Hybrid Electromagnetic Transient (EMT)-Transient Stability (TS) simulation method implemented in the MATLAB/Simulink environment for modeling and simulation of power electronic based power systems. The hybrid simulation technique suitably captures accuracy of EMT simulation and efficiency of TS simulation, therefore adequately representing the behavior of power systems with high penetration of converter interfaced generation. In order to foster the interaction between the EMT and TS simulation in MATLAB/Simulink, an interface algorithm is designed. A case study has been carried out based on the IEEE 9-bus system, which is modified to integrate a solar PV plant. The simulation performance of the hybrid model is evaluated and compared with the benchmark full EMT model, in terms of accuracy and efficiency. The study results demonstrate the competence of the presented hybrid simulation technique.