BiS₂-based superconductor Eu₂SrBi₂S_2.5Se_1.5F₄ has been investigated to clarify between T_c and crystal structure under high-pressure. The electrical resistivity by Cubic anvil cell and XRD by Diamond anvil cell were measured by generating hydrostatic pressure. In electrical resistivity measurements, T_c increased from 2.05 to 3.22 K at 1.5 GPa and decreased below 2.62 K at 3 GPa. However, under higher-pressure, T_c exhibited a peak again at 4 GPa. These experimental results suggest the existence of pressure-induced multiple superconducting phases in Eu₂SrBi₂S_2.5Se_1.5F₄. By XRD measurements, we can find that pressure-induced structural phase transitions occur near the pressure in the observation of T_c discontinuities. These results indicate the emergence of new superconducting phases through structural phase transitions. Eu₂SrBi₂S_2.5Se_1.5F₄ was found to have three superconducting phases up to 12 GPa.