1 H NMR spectroscopy has become an important technique for the characterization of transition-metal hydride complexes, whose metalbound hydrides are often difficult to locate by X-ray diffraction. In this regard, the accurate prediction of 1 H NMR chemical shifts provides a useful, but challenging, strategy to help in the interpretation of the experimental spectra. In this work, we establish a density-functional-theory protocol that includes relativistic, solvent, and dynamic effects at a high level of theory, allowing us to report an accurate and reliable interpretation of 1 H NMR hydride chemical shifts of iridium polyhydride complexes. In particular, we have studied in detail the hydride chemical shifts of the [Ir 6 (IMe) 8 (CO) 2 H 14 ] 2+ complex in order to validate previous assignments. The computed 1 H NMR chemical shifts are strongly dependent on the relativistic treatment, the choice of the DFT exchange−correlation functional, and the conformational dynamics. By combining a fully relativistic four-component electronic-structure treatment with ab initio molecular dynamics, we were able to reliably model both the terminal and bridging hydride chemical shifts and to show that two NMR hydride signals were inversely assigned in the experiment.