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As we know, the supplementary control modulation of the DC transmission line can provide damping torque to generator rotor oscillations for AC/DC power systems. This paper utilizes exact linearization technique to model a parallel AC/DC power system, and establishes a nonlinear control strategy for the supplementary control modulation of the DC transmission line with the wide-area measurement data. The exact linearization technique proposed in this paper utilizes a feedback of the wide-area measurement variables to avoid establishing complicated algebraic equations, which saves a lot of work in controllers designing. The method proposed in this paper is independent on the operation point of the AC/DC system, which means that it is capable of enhancing system performances for various system operating conditions. Simulation results show that the nonlinear controller of the DC transmission line with the wide-area measurement signals makes system oscillations decay quite well for various system operating conditions, while the linear controller shows less robust.