Band selection (BS) is a crucial concept within the realm of remote sensing, involving the selection of the most suitable bands to accurately capture features of landforms and surfaces. Despite the promising results achieved by many existing methods, certain limitations remain. First, most methods rely on a single criterion for band evaluation, leading to an incomplete assessment and limited generalizability of bands. Second, there is a lack of emphasis on target detection thus some BS techniques commonly used for classification are less effective for detection. Therefore, this paper proposes MOBS-TD, a multi-objective optimization (MO)-based BS method specifically designed for target detection, which aims to select bands with better target separation and stronger robustness across various application scenes. Initially, we develop a MO model with three objectives and introduce a novel metric to quantify the target-background separability (TBS) of bands. Subsequently, a weighted similarity to ideal solution (WSIS) strategy is developed to clearly describe the dominance relations and strike a balance among multiple objectives in evolution. In addition, we devise an evaluation mechanism based on the ratio of maximum to sub-maximum (MSR) is devised for selecting the optimal solution from the Pareto front (PF), which has been empirically validated to be effective in reducing false alarms. Extensive experiments on realworld datasets demonstrate the competitiveness of MOBS-TD in remote sensing applications. The source code is available at https://github.com/sxdDlmu/MOBS-TD.