HfW2O8 undergoes a dramatic softening where the average bulk modulus (P = 52–414 MPa) drops from 69 GPa at 298 K to 48 GPa at 430 K as the temperature of the WO4 orientation order-disorder transition is approached. This is accompanied by increasingly negative thermal expansivity (−10 ppm·K−1 to −15 ppm·K−1) and reversible WO4 orientational disordering upon compression in α-HfW2O8. Additionally, α-HfW2O8 becomes elastically softer upon compression at constant temperature. The α→β phase transition temperature decreases by ∼30 K between 52 and 414 MPa. Above this phase transition, no further temperature-dependent softening or pressure-dependent changes in the coefficient of thermal expansion occurred.