Static synchronous compensator（STATCOM）is one of the effective measures to restrain inter area low frequency oscillation thanks to its flexibility of installation location and good dynamic performance. Most existing STATCOM controllers are based on the linearized model of system

which will affect performance of the controllers. The generalized Hamilton theory is adopted to design the control strategy to restrain the low frequency oscillation by way of STATCOM in the multiple systems. The Hamilton energy function with the concept of system oscillation energy is constructed

including the description of multiple equivalent power system of STATCOM into the generalized Hamilton system form. The STATCOM control strategy is designed by the use of control theory of Hamilton system and from the point of view of reducing oscillation energy of system. The typical two-area four generator system is built by way of PSCAD/EMTDC platform and the both correctness and efficiency of the proposed model and control strategy is proved by the simulation result.