Phase-Pi (Al 3 Si 2 O 7 (OH) 3) is an aluminosilicate hydrous mineral and is likely to be stable in hydrated sedimentary layers of subducting slabs. Phase-Pi is likely to be stable between the depths of 60 and 200 km and is likely to transport water into the Earth's interior. Here, we use first principles simulations based on density functional theory to explore the crystal structure at high-pressure, equation of state, and full elastic stiffness tensor as a function of pressure. We find that the pressure volume results could be described by a finite strain fit with ! " , # " , and # " ′ being 310.3 Å 3 , 133 GPa, and 3.6 respectively. At zero pressure, the full elastic stiffness tensor shows significant anisotropy with the diagonal principal components % && , % '' , and % ((being 235, 292, 266 GPa respectively, the diagonal shear %)) , % ** , and % ++ being 86, 92, and 87 GPa 2 respectively, and the off-diagonal stiffness % &