Polycrystalline x‐ray diffraction data are reported for three high‐pressure phases of InSb. InSb‐II patterns are indexed on the basis of a body‐centered tetragonal lattice with unit cell parametersa=5.810 A˚ andc=3.136 A˚ atP∼4.3 GPa andT≳100 °C; a unique space group has not been assigned. Possible space groups and structures have been determined for the other high‐pressure phases. Contrary to published results, InSb‐III is orthorhombic witha=5.712 A˚,b=5.357 A˚,c=3.063 A˚ at 11.5 GPa and room temperature, the space group is eitherPmmmorPmmn, andZ=2. InSb‐IV is also orthorhombic witha=2.919 A˚,b=5.618 A˚, andc=3.066 A˚ atP=4.4 GPa and room temperature; the space group isPmm2, andZ=1. Atomic coordinates and appropriate bond angles are also reported.