Abstract: To address the multi-beam requirements for multi-satellite tracking of satellite communication terminals, this paper proposes a dual-beam feed system based on Luneburg lens and its matched fast dual-beam tracking method. First, a model of the single-beam Luneburg lens feed system and an efficient tracking method for its feed source are established. By means of Bézier curve fitting, the nonlinear constrained optimization model is transformed into a finite-dimensional parameter optimization problem, which is solved in combination with the Grey Wolf Optimization (GWO) algorithm. The effectiveness of the proposed method is verified through numerical simulations and physical prototype experiments. Sequently a dual three-degree-of-freedom (3-DOF) dual-beam feed structure for Luneburg lens is developed. By introducing anti-collision constraints of the feed structure and beam isolation constraints on the basis of the single-beam fast tracking method, a dual-beam anti-collision tracking model is established, and the effectiveness of the proposed model on this dual-beam feed system architecture is verified via simulations.