We report the results of ambient temperature high pressure Raman and synchrotron based ADXRD study of CsIBr₂up to 32 and 25 GPa respectively. Raman spectroscopic measurements indicate two phase transitions above 5 and 19 GPa respectively. High pressure ADXRD measurements reveal that the ambient orthorhombic (SG:Pnma) phaseof CsIBr₂is stable up to a pressure of 5 GPa above which a phase transition to a trigonal (SG:P-3c1) phase, coexisting with the ambient phase, is observed. The stability region of the trigonal phase has been found to be upto 19.4 GPa above which another phase transition is observed. A third order and second order Birch-Murnaghan equation of statefit to pressure dependence of unit cell volume yielded a bulk modulus of 10.9(8) GPa and 17.8(1) GPa for the orthorhombic and trigonal phase respectively.