In this paper, we proposed a multi-objective optimization model of bandwidth resources in the fiber Bragg grating (FBG) sensor network which is applicable to asymmetric overlapping spectra. Then, the non-dominated sorting genetic algorithm II (NSGA-II) was used to obtain the Pareto front of bandwidth resources, from which appropriate solutions were selected to determine the Bragg wavelength allocation at each FBG node. Experiments show that this method can save at least 40% of the bandwidth of the light source. While improving the multiplexing ability of the sensor network, it minimizes the overlapping of adjacent FBG spectra, maintaining high measurement accuracy. This method provides a reference for the allocation requirements in practical engineering applications.