The one-room and four-room tanks were modeled by finite element method to deeply research on the liquid-structure coupling problem in tanks. As the different constraint conditions, the analysis cases were formulated based on the orthogonal test method, to study the system's modality. The results show that, the frequency of one-room tank decreases with the increase of filling liquid when vertically fixed. When the one-room tank is fixed like a cantilever, there also is a descend trend of frequency, but in the case of liquid filling ratio 0.20, the frequency is abnormally increased with a minor rate 0.86%. Due to the different location, when filling ratio is 0.4, the frequency of cantilever system is 10.88% higher than that of vertical system. As for the four-room tank, the frequency is also nonlinear, and the lowest frequency is 40.47Hz, which is 82.81% lower than that of vertical system in the same filling ratio.