The ambient pressure fcc phase of NaBH4 transforms into a tetragonal P-421c near 6GPa and then into an orthorhombic Pnma phase above 8GPa . While the structures of the cubic and tetragonal phases are known, the structural information for the orthorhombic phase was limited to the space group and cell parameters. Here, we present synchrotron powder diffraction data for NaBH4 collected in a diamond anvil cell up to 11.2GPa . A BaSO4 -type structure of the orthorhombic high-pressure phase was solved ab initio from diffraction data and refined by the Rietveld method. Both tetragonal and orthorhombic phases show pronounced preferred orientation of crystallites with respect to the compression direction.