An approach is suggested in this paper for the design of a fuzzy logic-based governor controller as a possible mean to improve superconducting generator (SCG) stability under transient conditions while it is connected to a very large power system (an infinite-bus). In this approach, the stabilizing signal is based on the instantaneous speed deviation and acceleration of the superconducting generator and on a set of simple control rules. Meanwhile, a tuning parameter is introduced to generate the appropriate control rules, and thus increase the effectiveness of the fuzzy logic-based controller. Particle swarm optimization (PSO) technique is used to search for optimal settings of the fuzzy controller parameters. Simulation results, compared with those using a conventional controller, show that the proposed, PSOtuned fuzzy controller leads to a significant improvement in the SCG system performance over a range of operating conditions.