Three high-pressure polymorphs of the hydrogen storage material calcium borohydride [Ca(BH 4 ) 2 ] are predicted from structural analogs of the high-pressure titanium dioxide (TiO 2 ) polymorphs baddeleyite, columbite, and cotunnite. Their phase stabilities with respect to the three experimentally characterized polymorphs α, β, and γ are determined by accurate density functional theory calculations of their thermodynamic equations of state. Although these structures have not yet been observed experimentally, it is found that the proposed Ca(BH 4 ) 2 polymorphs are thermodynamically stable (at 0 K) at pressures above 3.6 GPa and that the ordering of the phase stabilities with respect to pressure is similar to TiO 2 .