In this paper, a low-complexity beam hopping pattern design with frequency reuse (FR) is proposed to efficiently adapt to the non-uniform traffic demands characteristics of the terrestrial cells. Concretely, an FR-based beam hopping (BH) downlink transmission model is conceived for multi-beam satellite systems. Next, a heuristic BH pattern optimization algorithm with FR and load balancing (BH-FR-LB) is proposed to improve the communication capacity, which is divided into two sub-problems with low complexity. Specifically, the cells are allocated into different frequency sub-bands to optimize the traffic load. The selection of the BH pattern is updated based on the remaining traffic demands of the terrestrial cells at each time slot, thereby achieving a trade-off between spectrum efficiency and inter-beam interference mitigation. Simulation results show that the proposed scheme obtains higher traffic satisfaction rate, while only requiring fewer time slots to achieve the data transmission under low traffic demands.