The localized surface plasmon resonance (LSPR) properties of bimetallic gold and silver three-layered nanotubes such as SiO2-Ag-Au and SiO2-Au-Ag nanotubes have been investigated with the variations of Au or Ag shell thickness and size of the core by means of Finite Difference Time Domain (FDTD) method. With increase in the core size, it is found that the LSPR peaks show red-shift. We also observe with increasing the thickness of the Au or Ag shell that the LSPR peaks show blue-shift. Furthermore, the modulation of LSPR due to Ag shell is more significant compared with that due to Au shell. We have ascribed the variations of the LSPR peaks to the plasmon hybridization and the competition between the changes of conduction and oscillation electrons.