Application of Flywheel Energy Storage System (FESS) to damp multi-mode oscillations is investigated in multi-machine power systems. The feasibility of damping multi-mode oscillations with FESS is proved by application of Damping Torque Analysis (DTA). Making use of the characteristic of the independent of the active and reactive power control loops of the FESS, the method of the single FESS to damp multi-mode oscillations is proposed by superposing stabilizers on each control loop, which damp different oscillation mode respectively. The control loop and feedback signal are selected for each mode base on control theory, and the parameters of FESS-based stabilizers are tuned by Particle swarm optimization (PSO). Finally, with a four-machine power system case investigated, the eigenvalue and non-linear simulation results show that single FESS has ability of damping power system multi-mode oscillations.