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This paper proposes an electromagnetic transient model and control strategy for the voltage source converter (VSC) based HVDC transmission. The electromagnetic transient model of the VSC AC-side in the synchronous d-q reference frame has been built; the DC-side dynamics are formulated based on the principle of instantaneous power balance, the instantaneous power absorbed by three-phase series inductors is also considered. For the purpose of control active power and reactive power separately and faster, a decoupled controller based on feed forward compensation method has been designed. The simulation tests realized by PSCAD/EMTDC that VSC-HVDC supplying passive network and connect active network have been adopted. The simulation results verify the validity of the mathematical model and the feasibility of the control strategies.